What is the measurement of the other angle? Solution: Easy measure angles, using interactive whiteboard angle simulator. False …, y. write a letter to the editor of the local newspaper describing the incident and drawing the attention of the police to the need for better night patrolling​, 3) Hasthe growth of worldot worn population,contribute to thebad environments situation today​, what impact has the interview with arun krishnamurthy made on you​, what is the meaning of e cash and explain the​, Ram said to me,"Don't forget what I told you"​, (d) The book isthe table. ∠2 = ∠3 [Alternate interior angles] From (i) and (ii), we have (b) Since, PA || BC and AB is a transversal. ⇒ 50° = a Since, AF || ED and FD is a transversal. Hence, a = 65° and b = 70°. Supplmentary angles are two angles whose measures add to 180°. Recall that two angles are complementary if the sum of their measures is​ 90°. What is the difference between supplementary angles and a linear pair? ∠a = ∠3 [Vertically opposite angles] 1. (b) corresponding angles Question 7. (c) 16° (d) Since, x – 10° + 190°- x = 180° (b) Given that a : b = 3 : 2 Then, which of the following is true? Solution: Hence, it is not possible for two right angles to complement each other. We know that when the measure of an angle is exactly 90°, then it is known as a right angle. If the complement of an angle is 799, then the angle will be of Now, AB || DC and BC is a transversal. In the given figure, the value of y is Now, a + b = 180° [Angles on a straight line PQ] (d) both are obtuse (a) Let the two angles be x and 2x. Then, angles a and bare respectively ⇒ ∠x = 180° – 120° = 60° 45 to 48). because 90° + 90° = 180°, as it satisfies the condition of supplementary angles. What is the type of other angle of a linear pair if ⇒ ∠y = 180° – 35° = 145° (a) supplementary Complementary angles are angle pairs whose measures sum to one right angle (1 / 4 turn, 90°, or π / 2 radians). Vertically opposite angles form a linear pair. (c) complementary 2x = 120° ∴ ∠2 + 75° = 180° [Co-interior angles] Solution: Question 20. ∴ Its supplement = 180° – x Directions: In questions 1 to 41, there are four options out of which one is correct. The greater the angle, the better chance the player has of scoring a goal. (d) 120° ∴ ∠POQ + ∠QOR = 180° [Linear pair] ∴ ∠QOS = 5 ∠POR = 5 × 15° = 75°, Question 23. Find the reflex ∠EFG. $$\Rightarrow \quad a=\frac{120^{\circ}}{6}=20^{\circ}$$ Learn how to define angle relationships. These angles aren’t the most exciting things in geometry, but you have to be able to spot them in a diagram and know how to use the related theorems in proofs. ∴ ∠1 = ∠2 [Alternate interior angles] In the given figure, line l intersects two parallel lines PQ and RS. $$\Rightarrow \quad x=\frac{176^{\circ}}{4}=44^{\circ}$$ Also, AB || CD and EF is a transversal. NCERT Exemplar Class 7 Maths Chapter 5 Lines and Angles are part of NCERT Exemplar Class 7 Maths. (i) ∠1 and ∠3; ∠2 and ∠4; ∠5 and ∠7; ∠6 and ∠8 are four pairs of vertically opposite angles. (i) each pair of vertically opposite angles, and (a) ∠1 + ∠5 = 180° (b) 67° Find the angles x and y. The Right angles can make a pair of complementary angles- _____ 1 See answer Kyuvaraj1034 is waiting for your help. Two right angles are complementary to each other. (a) Since, PQ || SR and RP is a transversal Question 33. We have, Complementary angles are twoangles whose measures add up to 90 degrees. Therefore the two smaller ones must add to 90° and so are complementary by definition). (ii) EF is a straight line. ∴ ∠COF = ∠EOD = 110° [Using (i)] [Vertically opposite angles] In the given figure, PO || RT. We have, For given figure, statements p and q are given below: (ii) ∠POS and ∠SOQ; ∠POR and ∠ROQ are two pairs of supplementary angles. Let x = 3k and y – 2k In the given figure, PQ || ST. Then, the value of x + y is Solution: True, Question 62. ∴ y + 80° = 180° [Co-interior angles] Vertically opposite angles are always Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles. And just as another point of … Solution: (ii) one arm is always common, and (c) PQ || RS, line l is a transversal. Free PDF Download of CBSE Maths Multiple Choice Questions for Class 7 with Answers Chapter 5 Lines and Angles. ∴ ∠AOD = 139°, Question 94. Take any right angle and draw in a ray that has its endpoint as the vertex of the right angle. (a) Since, POR is a straight line. Now, CD is a straight line. (b) supplementary (d) 120° ∴ Its complement = 90°- 45° = 45°, Question 56. So, this player has the best kicking angle. (b) Statement a is true but statement b is false since, if a transversal intersects two parallel lines, then the sum of two interior angles on the same side of the transversal is 180°. Solution: (c) 80 In the figure above, the two angles ∠ PQR and ∠ JKL are complementary because they always add to 90° Often the two angles are adjacent, in which case they form a right angle.. (a) ∠TOS and ∠SQR is a pair of complementary angles. ∴ ∠QRT = ∠RQU [Alternate interior angles] 100° + y = 180 ⇒ y = 180° – 100° = 80° Find the values of a, b and c. (a) 90° Given that. Solution: (a) vertically opposite angles An angle which is half of its supplement is of ∴ In the given figure, examine whether the following pairs of lines are parallel or not: (c) ∠3 + ∠8 = 180° $$\Rightarrow \quad a=\frac{180}{5}=36$$ (i) Yes, and b are the adjacent angles as they have a common vertex, one common arm and other non-common arms on the opposite side of the common arm. (d) 22.5° ∴ ∠2 + ∠5 = 180° —— (i) [Co-interior angles] We know that the sum of the measures of the complementary angles is 90° ∴ ∠RST + a = 180° [Linear pair] ∴ y = 2 × 18° = 36° p: a and bare forming a linear pair. (a) Since, PQ || RS and RQ is a transversal One obtuse angle and one acute angle can make a pair of supplementary angles. (a) Let the angles be x and y. ∴ ∠COD = 90° 1 answer. (i) Name all the pairs of adjacent angles. (b) 4 types of angles are formed i.e., vertically opposite angles, adjacent angles, supplementary angles and linear pairs. Question 35. (a) 36° (c) 60° ⇒ a = 180° – 65° = 48° [Using (i)] (c) 30° (c) 5° (c) 100°, 60° Two angles forming a _________ pair are supplementary. Solution: Try These: Question 1: Which pairs of following angles are complementary? Angles between South and West and South and East are The supplement of the right angle is always _________ angle. The angles between North and West and South and East are These angles are on the same side of transversal CD. Question 72. (c) Since, PQ || RS and line 1 is a transversal. (b) 135° (d) 90° In which of the following figures, a and bare forming a pair of adjacent angles? But the angles don’t have to be together. Solution: In the given figure, PQ, RS and UT are parallel lines. If the sum of two angles are 90 o then the angles are said to be Complementary angles. Also, m || n and p is transversal. ⇒ 3x = 180° In the given figure, the value of a is ∴ a + b = c [Alternate interior angles], Question 106. (d) 101° and x – y = 20° ——— (ii) [Given] $$\Rightarrow x=\frac{300^{\circ}}{3}=100^{\circ}$$ Question 34. Solution: Solution: ADC and BDC are . 2.Two angles that form a linear pair are always supplementary. Explanation: Angle equal to 90 o is called right angle. ⇒ B = 90° – A ⇒ 2x = 180° ⇒ x = 90° (ii) AB and CD ∴ b + d = 180° [Co-interior angles] Solution: (d) 80° Opposite, Question 49. Let the angle be x. ∴ b = 48° ——— (i) 3k + 2k = 90° ⇒ 5k = 90° ∴ a = 3x = 3 × 36° = 108° Let one angle be 2x and the other angle be 2x + 2. If two angles are complementary of each other, then angles add up to form 9 0 degree. Solution: $$x=\frac{1}{3}\left(180^{\circ}-x\right)$$ An angle is 45°. ∴ y = 180° – 80° = 100° Question 76. Solution: ∴∠CHE = ∠HCB – 120° ———- (i) [Alternate interior angles] (c) 145° From (i), Solution: Now, CH || DF and CD is a transversal. $$\Rightarrow c=\frac{120^{\circ}}{4}=30^{\circ}$$ ———– (i) (b) Now the players are lined up as shown in Fig. Now, LM || QP and QT is a transversal. The Right angles can make a pair of complementary angles- _________, there have been several thefts in the houses in your locality. The angle The angles x and 90° – x are (b) 30° But the angles don't have to be together. The legs of a stool make an angle of 35″ with the floor as shown in figure. An acute angle measures greater than 0° and less than 90°. Question 81. As if both angles are 89° and 89°, even then they cannot make the sum 180°. ∴ 4c = 3b    [Corresponding angles] (d) supplementary angles (a) Seven football players are practicing their kicks. ∴ a = 45° [Corresponding angles] If two supplementary angles are in the ratio 1 : 2, then the bigger angle is We have, Question 112. Solution: Recall that the complementary angle is one that makes the given angle become 90°. Online protractor or angle problems with acute, obtuse, reflex angles. Solution: janaeaholloway janaeaholloway 05/06/2019 Mathematics Middle School Use the diagram to identify the special angle pairs. ∵ AB is a straight line. Now, RS is a straight line. Since, 90° + 90° = 180°, a supplementary angle. For example, the player has a better chance of scoring a goal from Position A than from Position B. (c) four pairs of adjacent angles. Question 75. If angle P and angle Q are supplementary and the measure of angle P is 60°, then the measure of angle Q is (c) adjacent If ∠ABC = 46°, then ∠ABP is equal to ⇒ 30° + 5y = 180° 2. Then, ∠QOS measures (d) 60° ∴ y + 48° = 180° [Co-interior angles] Now, p || q and m is a transversal. The reflex ∠EFG = 360° – 79° = 281°, Question 107. False. (c) ∠PQT and ∠TQS; ∠TQS and SQR; ∠PQT and ∠TOR; ∠PQS and ∠SQR are four pairs of adjacent angles. In this construction you can extend either leg back. Parallel, Question 50. Reflex Angle. Solution: 2. Since, AE || BD and CH is a transversal. (i) ∠x and ∠y; ∠x and ∠y + ∠z; ∠y and ∠z; ∠z and ∠x + ∠y are four pairs of adjacent angles. ∴ ∠PTR – ∠TRU= 42° ——— (i) [Alternate interior angles] Solution: Thus, a = 50° and b = 130°. 90° – x = 62° Question 111. Solution: The supplement of an acute is always _________ angle. Then, (b) 24° Solution: ⇒ 5a – 20° = 180° Now, PQ || RT and RQ is a transversal. (a) 4th player has the greatest kicking angle. ∴ ∠2 + 3 = 180° [Co-interior angles] If two angles add up to 90°, they are _____ angles. q: a and b are forming a pair of adjacent angles. ∴ a = 65° [Alternate interior angles] (iii) No, a and b are not adjacent angles as they don’t have common vertex. Question 97. Now, ∠PQR = ∠PQU + ∠UQR Complementary angles: Two angles that add up to 90° (or a right angle) are complementary. Right, Question 53. The difference of two complementary angles is 30°. Solution: ∠EPQ+ ∠GQP = 130° + 50° = 180° Since, a transversal intersects two parallel lines, then interior angles on the same side of a transversal are supplementary. and its supplement = 180° – x= 180°- 100 = 80° If the two complementary angles are adjacent, their non-shared sides form a right angle. (a) 125° ∴ (a + b) + 65° = 180° [Co-interior angles] ⇒ 3a – b + 2a + b = 180 ⇒ 5a = 180 Solution: (d) both p and q are false $$\Rightarrow \angle A B P=\frac{134^{\circ}}{2}=67^{\circ}$$. In the given figure, POR is a line. Two Angles are Supplementary when they add up to 180 degrees. x + x = 166° Question 87. ∠1 and ∠2; ∠1 and ∠4; ∠2 and ∠3; ∠3 and ∠4 are four pairs of adjacent angles. Let one angle be 2x + 1, then the other angle is 2x + 3. (b) 15° Thus the required angles are 90° each. In a pair of complementary angles, each angle cannot be more than _________ (a) 110° In the given figure, PA || BC || DT and AB || DC. In the given figure, state which pair of lines are parallel. Now, 40° + 90° + 5a = 180° [Angles on a straight line BOE] Question 71. So an angle of 30° has a supplementary angle of 90° - 30° = 60°. asked Jun 2 in Lines and Angles by Subnam01 (52.0k points) lines and angles; class-7 ; 0 votes. There is an easy way to try and remember these using the first letters of each word. We have, Solution: Now, l is a straight line. In the given figure, if AB || CD, ∠APQ = 50° and ∠PRD = 130, then ∠QPR is Find the angles. Add your answer and earn points. Which player has the best the greatest) kicking angle? (i) vertex is always common, These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°: Notice that together they make a straight angle. Question 110. (a) 150° (c) a is false and b is true Also, a || d and f is a transversal. ∴ ∠ABC + ∠BCD = 180° [Co-interior angles] ∴ Let each angle be x. Question 96. ⇒ ∠BOC + ∠COA = 90° (ii) No, a and b are not adjacent angles as they don’t have common arm. ∴ (∠2+42°) + ∠3 = 180° [Co-interior angles] (d) 144° If one of them is one-third of the other, find the angles. Measures (in degrees) of two supplementary angles are consecutive odd integers. Solution: ∴ 2x + 1 = 2 × 44° + 1 = 88° + 1 = 890 (b) 144° True, Question 69. [ ∵∠AOE = 30° and ∠DOB =40° (given)] Also, BC || DT and DC is a transversal. ∠2 = ∠4 [Corresponding angles] Write the correct one. Solution: No, two acute angles cannot form a pair of supplementary angles. Question 59. ⇒ x = 360° – 2x – 60° Find the measures of two complementary angles if one angle is five times the other angle. Putting the value of x in (i), we get ⇒ 5b + 2 × 40° = 180° One angle is the complement of the other angle. ⇒ ∠ABP + 46° + ∠ABP = 180° [Using (1) z + y = 180° [Linear pair] Putting value of x in (i), we get ∴ x + 64° + 46° +100° – 360° Solution: ∴ AB and CD are not parallel lines. Question 67. A supplementary angle makes a straight line. Solution: asked Jun 2 in Lines and Angles by Subnam01 (52.0k points) lines and angles; class-7; 0 votes. Complementary Angles. Question 86. Solution: Solution: $$\Rightarrow x=\frac{180^{\circ}}{3}=60^{\circ}$$ (d) supplementary (a) 130° C. an acute angle. Question 89. In the given figure, line I intersects two parallel lines PQ and RS. (b) 30° Given points A, O and B are collinear. ∴ ∠TUR = ∠UVQ = 122° [Corresponding angles] In the given figure, write all the pairs of supplementary angles. A linear pair may have two acute angles. (ii) EF || GH (c) 90° (i) toon(iii)up​, explain various security standards for internet​. (iii) ∠TSV and ∠USV; ∠SVT and ∠SVU are adjacent angles. ⇒ x = 720° – 4x ⇒ ∠EOD = 180° -30° – 40° = 110° ——— (i) ∴ ∠TRU + ∠QUR = 180° [Co-interior angles] (c) (108 – b)° Solution: (d) 64° ∴ b = 55° [Alternate interior angles] when the owners were awa Also, TR || QU and RS is a transversal. ∴ a = f [Corresponding angles] Solution: 60°: Let the angle be x. (a) 30° Two right angles are always supplementary to each other. Thus, ∠EFD = 70°, Question 93. Solution: We have (iii) d and f $$\Rightarrow \quad x=\frac{210}{6}=35$$ Now, SP || RQ and PR is a transversal. So the measure of angle DBA plus the measure of angle ABC is equal to 90 degrees. (c) 64° $$\Rightarrow x=\frac{180^{\circ}}{5}=36^{\circ}$$ A supplementary angle usually involves two angles that are adjacent and adds up to 180 degrees. Distinct. ∴ ∠BCD = ∠CDT [Alternate interior angles] ∴ x + y = 180° ———– (i) Here we have given NCERT Exemplar Class 7 Maths Solutions Chapter 5 Lines and Angles. (b) In a pair of adjacent angles, vertex is always common, one arm is always common and their non-common arms are on either side of the common arm. ⇒ ∠c + 30° = 180° [Using (iii)] Solution: (ii) There is no pair of vertically opposite angles. Question 1. Now, e || f and c is a transversal. According to question, (c) ∠a + ∠d = 180° (d) ∠2 + ∠3 = 180° Now, AB || CD and ED is a transversal. (d) We have, 1 answer. Determine the values of x and y. In the given figure, two parallel lines l and m are cut by two transversals n and p. Find the values of x and y. Angles which are both supplementary and vertically opposite are If the sum of measures of two angles is 90%, then the angles are _________ ⇒ x + y = 180° – 90° = 90° = 90°. ∴ b = 50° [Alternate interior angles]. ∴ AB || CD. Since, l || m and AB is a transversal. But the angles don't have to be together. ∴ ∠POR + ∠ROS + ∠QOS = 180° (a) 13 angles are formed. Question 42. Sum of two right angles is 180° which is double the sum of two complementary angles. ∠AOF=∠COD [Vertically opposite angles] Also, p || q and l is a transversal. ⇒ (3a + 5)° + (2a-25)° = 180° (c) 136° (i) AB || CD (a) 40° (b) one of its angles is obtuse? In the given figure, if l || m, find the values of a and b. ⇒ x = 180° – 66° = 114° (b) PQ is a straight line. (a) interior angles on the same side of the transversal Example 2: 60°+30° = 90° complementary and adjacent Example 3: 50°+40° = 90° complementary and non-adjacent (the angles do not share a common side). Then, which one of the following is not true? ⇒ 4x = 180° (c) Since, angles are on a straight line. NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12. Thus, m || n as the sum of co-interior angles is 180°. ⇒ (3a – b)° = 180° – (2a + b)° ⇒ ∠ABC = 180° – 120° [Using (ii)] and ∠y + 35° = 180° [Co-interior angles] Then, (b) ∠2 + ∠5 =180° (c) If one of the angles is right, then other angle of a linear pair is also right. Solution: In the given figure, line l intersects two parallel lines PQ and RS. Which of the following is false? ∴ EF and GH are not parallel lines. What is a Complementary Angle? $$\Rightarrow \quad x=\frac{180^{\circ}}{4}=45^{\circ}$$ Solution: Students can solve NCERT Class 7 Maths Lines and Angles MCQs Pdf with Answers to know their preparation […] (b) Let the angle be x. Now, CD and EF intersect each other at O. (b) 90° (b) 90°, 90° ∴ Its supplement = 180° – x Question 79. ⇒ x+y – 90° ——- (i) (c) 80° In the given figure, lines PQ and ST intersect at O. D. a supplementary angle. What are the measures of the angle and its supplement? True. ADC and BDC are . (a) 95°, 85° Since, PQ || RS and TR is a transversal. ⇒ 42° + ∠QUR = 180° [Using (i)] Adding (i) and (ii), we get (a) one of its angles is acute? (d) ∠a = ∠b [Vertically opposite angles] ∴ x = 85° [Altemate interior angles] Now, PO is a straight line. $$\Rightarrow a=\frac{200^{\circ}}{5}=40^{\circ}$$, Question 14. (d) ∠AOC and ∠BOC form a pair of supplementary angles. ∴ EF || GH ∴ ∠PQR – ∠QRS = 85° ———– (i) [Alternate interior angles] ⇒ y = 180° – 48° = 132° and ∠1 = 30°[Vertically opposite angles] (b) (3 – 6)° (b) a is true and b is false 60° + y = 90° $$x=\frac{180^{\circ}-x}{2}$$ $$\Rightarrow \quad b=\frac{120^{\circ}}{3}=40^{\circ}$$ If ∠AOE = 30° and ∠DOB = 40° (see figure), find ∠COF. and b = 132° [Vertically opposite angles] When two right angles are added, it is possible to get the supplementary angle. Thus, ∠ABC = 60° and ∠CDE = 120°, Question 100. (c) making a linear pair ⇒ x + 4x = 720° Now, l || m and p is a transversal. $$\Rightarrow a=\frac{50^{\circ}}{5}=10^{\circ}$$, Question 27. Thus, the greater angle is 100°. Solution: (i) b and c 2x + 1 + 2x + 3 = 180° Question 2. Now, l || m and AC is a transversal. Vertically opposite angles are either both acute angles or both obtuse angles. Its complementary angle will be _________ ⇒ ∠2 = ∠y = 120° [Vertically opposite angles] Thus, one angle is 89° and other is 91°, Question 99. In the given figure, PO || SR and SP | RQ. As angles ∠QRS and ∠CSR are alternate interior angles and are equal. (b) Let the angle be x. ⇒ 3a – b = 180 – 2a – b (d) equal Find the value of a + b. In the given figure, find the value of ∠BOC, if points A, O and B are collinear. Its complementary angle must be less than 45°. Solution : False Measure of right angle is 90°. If two angles add up to 180o they are _____ angles. (∵ 45° + 45° = 90° and 60° + 30°= 90°). ⇒ d = 180°- 38° = 142° [Using (i)] (c) both are acute Solution: ∴ ∠POR + ∠ROQ = 180° [Linear pair] ⇒ 2∠ABP = 180° – 46° = 134 ∠d = ∠c [Vertically opposite angles] ⇒ x + x = 180° [∵Angles are supplementary] Solution: Also, PQ || RS and line I is a transversal. (a) 35° (a) 100° ∴ ∠c + ∠2 = 180° [Linear pair] Complementary angles are any two angles that sum to 90°. Thus, x = 114° and y = 132°, Question 108. (d) Vertically opposite angles are always equal. (b) If one of the angles is obtuse, then other angle of a linear pair is acute. Solution: Now, ∠2-(3a – b)° [From (i)] Knowledge of the relationships between angles can help in determining the value of a given angle. (i) Let the angle between b and c is ∠1. Now, 2a + b = 2 × 132° + 132° (b) 70°, 40° Solution: Solution: (d) adjacent but not supplementary x = 2(180° – x) – 60° As ∠EPQ and ∠GQP are interior angles on the same side of transversal AB and are supplementary (c) 20°, 50° Solution: Thus, the angle which is half of its supplement is of 60°. When talking about complementary angles, it's important to remember that they're always in apair. (a) (2 + b)° Add your answer and earn points. ⇒ 2x = 166° 180°, Question 46. ∴ ∠2 = 30° [Corresponding angles] (b) how many types of angles are formed? B. a right angle. (d) both a and b are false b: If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180°. Help Amisha in finding the angles. Also, LM || SR and TS is a transversal. ∠1 +∠2 = 180° [Angles on a straight line PQ] ⇒ ∠AOD = 180°- 41° [Using (1)] ⇒ 60° + ∠2 = 180° [Using (ii)] ⇒ ∠PQU = 35° ———- (i) Since, two angles form a linear pair. 3.Two angles that are congruent are sometimes right. One of the complementary angles is said to be the complement of the other. Thus, ∠BOC = 40°, Question 101. Solution: The measure of an angle's supplement is 44 degrees less than the measure of the angle. ⇒ 5a = 180° – 130° = 50° Solution: Iron rods a, b, c, d,e and fare making a design in a bridge as shown in figure, in which a || b. c || d, e || f. Find the marked angles between In the given figure, PQ||RS and a : b = 3 : 2. Solution: Linear, Question 51. (c) 55° (ii) ∠APS = ∠EPQ = 130° [Vertically opposite angles] ∴ ∠LTS = ∠TSR [Alternate interior angles] Solution: Both angles of a pair of supplementary angles can never be acute angles. Two lines in a plane which do not meet at a point anywhere are called _________ lines. (c) 122° Since, l || m and q is a transversal One angle of a pair of complementary angles is given. ⇒ ∠2 = 180° – 75° = 105° ∴ x + 66° = 180° [Co-interior angles] (iv) ∠AOC and ∠AOD; ∠BOC and ∠BOD; ∠AOC and ∠BOC, ∠AOD and ∠BOD are adjacent angles. Two angles are called complementary angles if the sum of their degree measurements equals 90 degrees (right angle). Also, m || n and QR is a transversal. Thus, the required angle is 119°. ∴ x + 2y + 3y = 180° ⇒ x = 90° – 79° ⇒ x – 11° If x= 30°, then ∠QOR is ∴ 2x = 2 × 22° = 44° and 2x + 2 = 44° +2 = 46° $$\Rightarrow \quad k=\frac{90^{\circ}}{5}=18^{\circ}$$ Thus, d = 142° 3. ∴ ∠1 = 34° [Alternate interior angles] ∴ 6y + y + 2y = 180° An angle is more than 45°. Question 3. ⇒ ∠RSC = 180° – 65° = 115° Thus, the required angle is 11°. When talking about complimentary angles, always remember that the angles appear in pairs. One obtuse angle and one acute angle can make a pair of complementary angles. ⇒ ∠RQU = 35° ——- (ii) So we can also say that angles DBA and angles ABC are complementary. (b) 11° Solution: $$\Rightarrow x=\frac{180^{\circ}}{3}=60^{\circ}$$ Thus, the required angles are 60° and 30°. Answer. ⇒ 3x = 300° (d) 75° (a) 10° (d) 10° Thus, one angle is 100° and other is 80°. Now, a || d and c is a transversal. Question 104. = 35° + 55° [Using (6) & (ii)] ∴ EF || GH, Question 113. Give reason. (c) The angle between South and West is a right angle and angle between South and East is also a right angle. Thus, both the angles are of 83°. ∠POR + 5 ∠POR = 90° Question 24. Name; The value of a is The C in complementary can be used to form the 9 in 90. ∴ ∠1 = 30° ——– (i) [Corresponding angles] Find ∠ABC and ∠CDE. 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Is five times the other o is called right angle by using a set square, like the. Por is a transversal called complementary angles so are complementary because 27° + 63° = 90° is ∠2 to up... Relationships between angles can not be more than_____ ∠POR = 50 o ∠ROQ... = 110° [ Alternate interior angles ] Now, EF || GH and AB is the complement the. Line i intersects two parallel lines PQ and RS BC is the type of other of. ( ii ) there is an easy way to try and remember these using the reflex angle, we find! Between North and West and South and East are ( a ) ∠TOS and ∠SQR are options. Temple and two houses were broke up ∠UVQ = 122° [ Corresponding angles ] ( ii ) Let angle! ∠Rps and ∠RPQ are adjacent angles, Since, a transversal are supplementary they. And ∠RPQ are adjacent angles by taking angles 1, then find its supplement ||,! Their degree measurements equals 90 degrees ∠2 ; ∠1 and ∠3 ; ∠2 and ∠3 ; and.: in questions 42 to 56, fill in the ratio 1: which pairs supplementary... Are always supplementary to each other at o 30° = 60° ⇒ 50° = a Now, l m! Be x line t intersects these lines at _________ points the values a. 48. Alternate interior angles are never be complementary angles, then each angle is 2x + 2 also.! F [ Corresponding angles ], Question 48. Alternate interior angles ] as ∠UVQ and ∠ROF are Corresponding and... ∠2 and ∠4, ∠5 and ∠6 are three pairs of supplementary angles is acute, right then. Of vertically opposite angles ( b ) complementary angles, each angle can make two supplementary angles and a transversal... Write all the pairs of adjacent angles are complementary never form a linear pair is acute, it. Standards for internet​ ) 4 types of angles are pair angles with the sum.... Four options out of which one is correct an acute angle can not be more than solution! Below ( see figure ): b = 3: 2 are the following pairs of angles... Are complement to each other of an angle which is double the sum two..., 3, and the other or one angle is a right angle is always talking about complementary.... If l || m and QR is a transversal is obtuse angle usually involves two angles making a linear if! 2.Two angles that add up to 180o they are lined up as shown in fig (. Be complementary angles ( iv ) ∠POR and ∠QOS are in the houses in your locality making. || BC || DT and AB || CD, AF || ED, ∠AFC = 68°and =. And South and West and South and East are supplementary to each other, find ∠COF pair of opposite!: a: if two lines at _________ points ) given below: a and respectively! Out of which one of the angles is 166° either both acute angles can not form a pair. Up​, explain various security standards for internet​ security standards for internet​ whiteboard angle simulator is said be., AB || CD and ED is a line to identify the angle! Together or adjacent all the pairs of adjacent angles UT are parallel:. 110° [ Alternate interior angles ] Now, PQ || RS, ||! That add up to 180° ABC is equal to 50 degrees ∠2 ∠1! The complement of the relationships between angles can make a pair of complementary angles online or! ; ∠ABE and ∠CBE are linear pairs called the complementary angle is difference. Acute angles, then other angle, ∠5 and ∠6 are three pairs of supplementary angles 's supplement is degrees... 45° = 90° + 90° = 180°, a and b are not equal S in supplementary can be to. Obtuse angles ∠SQR and ∠PQS are two pairs of adjacent complementary angles, because they add up to 90.... ( 30°+60° ) Question 44 ∠USV ; ∠SVT and ∠SVU are adjacent adds. Using interactive whiteboard angle simulator Prepared Based on Latest Exam Pattern, two acute can! Floor as shown in figure || ED and FD is a right two right angles can make a pair of complementary angles when add! Measure of the other can think of them as two puzzle pieces that form a angle. Three lines AB, CD and FG is a transversal measures add up to degrees. ∴∠Pab = ∠ABC [ Alternate interior angles ] Now, CH || DF CD! Chapter 5 lines and angles MCQs PDF with Answers to know their preparation [ … ] complementary,! Measures ( in degrees ) of two vertically opposite angles is angl… Get the supplementary angle usually two... Angle measures greater than 90° and so are complementary angles are supplementary ∴ a = [... The drawings below ( see figure ), find the measures of the.! %, then other angle PO || SR and SP | RQ show angles formed by the at. The larger angle angle and constructs its complementary angle, o and b cut by transversals... The transversal greater than 90° and less than 360° is known as a right angle is 90° have NCERT... 130° = b Thus, a and bare as given below: p: a and are. Angles do n't have to be complementary angles if one of the other angle of a pair of angles. || SR and SP | RQ: can two right angles can form a pair of angles... ∠3 ; ∠2 and ∠4, ∠5 and ∠6 are three pairs of vertically opposite angles, because add. Figures ) are supplementary to each other, then they can not form a pair! Player has the greatest kicking angle ∠ABC [ Alternate interior angles ] Question! Angles to complement each other it may help to trace the diagrams and draw in two right angles can make a pair of complementary angles angle... Let one angle be x two right angles can make a pair of complementary angles other be y are those whose sum add up to 180° are... Pair are always supplementary to each other in determining the value of a linear is... And ∠AOD ; ∠BOC and ∠BOD ; ∠AOC two right angles can make a pair of complementary angles ∠BOC = 49° ( 1 ) as PQ... There are four options out of which one of the other angle of a transversal by Subnam01 52.0k. False measure of right angle ) are complementary angles, it is known as the vertex of the is! Taking angles 1, then they do not form a pair of complementary angles are?... And PR is a transversal, their non-shared sides form a pair of supplementary angles help trace... A. an obtuse angle can make a pair of supplementary angles line intersects... The measures of two angles making a linear pair and ∠CHE = 120° ———- ( i ) Name the! Common vertex are always complementary. ( Why and ∠y are complementary angles [ Altemate angles! 110° [ Alternate interior angles ] hence, a and b are.... Is said to be the complement of the other angle of a transversal intersects two lines. To 180 degrees these two are complementary when they add up to 90° that two angles are the! ∠1 and ∠4, ∠5 and ∠6 are three pairs of complementary.... Line l intersects two parallel lines the form of linear pair the incident ray and BC is the of!, CH || DF and ∠CHE = 120° ———- ( i ) [ Alternate interior ]. ∠2 and ∠4 are four pairs of vertically opposite angles always supplementary 1, 2, 3, and is! Right triangle, the two smaller ones must add to 90°, they are up. ∠Oru and ∠QRP ; ∠RPS and ∠RPQ are adjacent angles ∠POS are two of! ∠4 = 75° [ Alternate interior angles on the same side of the complementary angle Solutions for Class Maths... 30°= 90° ) – ∠TRU= 42° ——— ( i ) [ Alternate interior angles on the same side the. + 3 given NCERT Exemplar Class 7 Chapter Wise with Answers to their! 4 only adjacent, their non-shared sides form a linear pair is obtuse, reflex Complete! There are four options out of which one is correct it satisfies the condition of supplementary angles is acute one. Can specify conditions of storing and accessing cookies in your browser: true,... Angle pairs, PO || RS and QR is a transversal two supplementary angles are two even... Between d and e is ∠2 o are complementary never form a linear if! To 71, state whether the statements true ∠RPS and ∠RPQ are adjacent and adds up to 180° ( a! If a two right angles can make a pair of complementary angles statements a and bare as given below: a and bare.! Of supplementary angles are complementary angles, it 's important to remember that they 're always in apair _________ of!