∴ b + d = 180° [Co-interior angles] When two angles add to 90°, we say they "Complement" each other. False ⇒ f = 108°, Question 37. ∠APS + ∠PSC = 130° + 50° = 180° ∴ ∠QOS = 5 ∠POR = 5 × 15° = 75°, Question 23. So two key things here, one they don’t have to be adjacent which means they share a common vertex and a side, and two we are only talking about two angles so this is a pair of supplementary angles and a pair of complementary angles. Three angles or more angles whose sum is equal to 90 degrees cannot also be called complementary angles. ⇒ 3a – b + 2a + b = 180 ⇒ 5a = 180 When two lines cross, they form two pairs of vertical angles. (d) adjacent but not supplementary ⇒ ∠BOC + ∠COA = 90° EASY. Now, QP || RS and PR is a transversal. Now, ∠PQR = ∠PQU + ∠UQR In a pair of adjacent angles, Solution: ⇒ x = 28° In the given figure, PO || RS, TR || QU and ∠PTR = 42°. (d) making a linear pair Question 86. (d) both a and b are false We have, In which of the following figures, a and bare forming a pair of adjacent angles? ⇒ a = 180° – 65° = 48° [Using (i)] (b) 100° (a) 95°, 85° (a) Let the two angles be x and 2x. Now, RS is a straight line. (d) 60° (b) ∠PQT and ∠TOR; ∠SQR and ∠PQS are two pairs of supplementary angles. Also, m || n and p is transversal. Question 103. According to question, (d) vertically opposite angles Solution: False Or does the complementary rule only apply to two angles? Solution: (b) 90° (a) 95° (c) 145° Question 21. The drawings below (see figure), show angles formed by the goalposts at different positions of a football player. No, two acute angles cannot form a pair of supplementary angles. (d) (180 – b)° Thus, the greater angle is 100°. ∴ ∠AOD = 139°, Question 94. For example, the player has a better chance of scoring a goal from Position A than from Position B. Solution: As vertically opposite angles are always equal but do not form a linear pair. (d) 22.5° Solution: In the given figure, PA || BC || DT and AB || DC. Solution: When two right angles are added, it is possible to get the supplementary angle. (b) ∠2 + ∠5 =180° Question 5. This site is using cookies under cookie policy. 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. Solution: ∴ a + b = c [Alternate interior angles], Question 106. In the given figure, find the value of ∠BOC, if points A, O and B are collinear. x + x = 166° Solution: ∴ b = 50° [Alternate interior angles]. (b) ∠4 = ∠8 ∴ x + y = 90° ———(i)     [Angles are complementary] Solution: As one acute angle and one obtuse angle can make two supplementary angles. Then (c) 55° Question 74. Solution: always. Geometry. Then, which of the following is true? ∴ ∠1 = ∠3 [Corresponding angles] Solution: In the given figure, PO || RS. (b) 80° Question 112. ⇒ d = 180°- 38° = 142° [Using (i)] (i) vertex is always common, ⇒ 5x = 180° They form a right-angle triangle and making an L shape. Those Adjacent Angles Are Complementary. (b) Now the players are lined up as shown in Fig. Name; \(\Rightarrow \quad k=\frac{90^{\circ}}{5}=18^{\circ}\) In the given figure, the value of x is ⇒ 5b – 180° – 80° = 100° and x – y = 30° ——— (ii) [Given] Then, sum of two right angles will be (90°+ 90°) = 180°. (i) Name all the pairs of adjacent angles. Question 83. sometimes. Solution: (a) 36° (b) 135° (i) ∠x and ∠y; ∠x and ∠y + ∠z; ∠y and ∠z; ∠z and ∠x + ∠y are four pairs of adjacent angles. a and b are on the opposite side of transversal l. ⇒ 3x = 300° (a) 100° Yes, as sum of two right angles is 1 8 0 o. Question 75. ⇒ ∠1 = 70° [Using (ii)] ∴ ∠AOE + ∠EOD + ∠DOB = 180° (d) 120° (c) (45°, 45°) and (60°, 30°) are the two pairs of angles formed by different positions of two players such that they are complement to each other. (i) ∠1 and ∠3; ∠2 and ∠4; ∠5 and ∠7; ∠6 and ∠8 are four pairs of vertically opposite angles. a: If two lines intersect, then the vertically opposite angles are equal. According to question, (a) 4th player has the greatest kicking angle. The angles x – 10° and 190° – x are Solution: True. 100° + y = 180 ⇒ y = 180° – 100° = 80° For given figure, statements p and q are given below: ∴ Supplement of x = 180° – 28° = 152°, Question 88. ∠AOF=∠COD [Vertically opposite angles] (b) 50°, 20° Question 25. 90° – x = 62° Question 32. and b = 132° [Vertically opposite angles] Question 84. In the given figure, l || m || n. ∠OPS = 35° and ∠QRT = 55°. z + y = 180° [Linear pair] Thus, x = 114° and y = 132°, Question 108. ⇒ 5a + 130° = 180° Solution: (d) Since, PQ || RS, line l is a transversal. x = 2(180° – x) – 60° (a) interior angles on the same side of the transversal \(\Rightarrow \angle P O R=\frac{90^{\circ}}{6}=15^{\circ}\) ⇒ 2∠ABP = 180° – 46° = 134 Now, SP || RQ and PR is a transversal. (a) 40° Solution: Measure of a right angle is 90°. (a) ∠1 + ∠5 = 180° We can see this if we start at the top left and work our way clockwise around the figure: ∴ Its supplement = 180° – x Also, BC || DT and DC is a transversal. Thus, a = 20°, b = 40° and c = 30°, Question 109. 1 0. False Two angles are said to be a supplementary angle if the sum of … (a) Since, ∠P + ∠Q = 180° Solution: Thus, ∠EFD = 70°, Question 93. (c) ∠3 + ∠8 = 180° Question 60. (d) Vertically opposite angles are always equal. In the given figure, write all the pairs of supplementary angles. (e) Since, POQ is a straight line. ∴ ∠2 = 30° [Corresponding angles] Solution: Question 71. Solution: Question 67. (iv) c and f (c) vertically opposite If ∠ABC = 46°, then ∠ABP is equal to ∴ ∠BCD = ∠CDT [Alternate interior angles] ∴ ∠2 + ∠5 = 180° —— (i) [Co-interior angles] Solution: Since, two angles form a linear pair. Which of the following is false? We have, (d) Since, sum of the angles about a point is 360° alternate interior angles have one common _________ Now, a + b = 45° + 55° = 100°, Question 105. ⇒ x = 360°- 210° (ii) ∠x and ∠y are complementary angles. The supplement of an obtuse angle is always _________ angle. ⇒ ∠3 – 180° – 105° = 75° [From (ii) part] Now, CH || DF and CD is a transversal. ⇒ ∠APR = 130° The supplement of the right angle is always _________ angle. 1 decade ago. Also, TR || QU and RS is a transversal. According to question, Solution: ⇒ 4 × 30° = 3b      [using (i)] ⇒ ∠QPR = 130° – 50° = 80°, Question 11. Solution: Also, m is a straight line. Solution: 2x = 180° + 20° = 200° Solution: ⇒ x + x = 180° [∵Angles are supplementary] If ∠POR = 90° and x : y = 3 : 2, then z is equal to As per the Congruent supplement Theorem, two angles which are are supplementary to the same angles then those two sets of angles are congruent to each other. Properties of Supplementary Angles. In the given figure, two parallel lines l and m are cut by two transversals p and 4. We can see this because they are always supplementary with the same angle. ∠a = ∠3 [Vertically opposite angles] Question 22. Solution: Find ∠ABC and ∠CDE. Question 1. False An angle adjacent to a right angle is also a right angle. Solution: If two supplementary angles are in the ratio 1 : 2, then the bigger angle is In the given figure, lines PQ and ST intersect at O. (d) ∠a = ∠d (b) Since, PQ || ST and SO is a transversal. ∴ 4c = 3b    [Corresponding angles] ∴ The angles between North and West and South and East are supplementary. ok i'm in GT math. Solution: Then, the angles are Solution: In the given figure, PQ||RS and a : b = 3 : 2. ∴ ∠2 + 135° = 180° [Co-interior angles] (a) Seven football players are practicing their kicks. ⇒ 50° = a ⇒ x = 360° – 2x – 60° (b): Since, vertically opposite angles are equal. Justify your answer. (a) 120° In the given figure, if AB || CD, ∠APQ = 50° and ∠PRD = 130, then ∠QPR is Examples of complementary angles: 40° and 50° 60° and 30° 85° and 5° 70° and 20° 45° and 45° etc. and ∠y + 35° = 180° [Co-interior angles] \(x=\frac{180^{\circ}-x}{2}\) always. (d) 90° 4.Two angles that are right are always congruent. Two angles are said to be complementary angles if they add up to 90 degrees. Question 76. ∴ b = 55° [Alternate interior angles] (d) 135° (b) 15° \(\Rightarrow \quad x=\frac{200^{\circ}}{2}=100^{\circ}\) Since, l || m and q is a transversal. (i) b and c Question 24. (b) 50°,130° ⇒ y = 90° – 60° = 30° corresponding angles are on the _________ side of the transversal. This implies that there are interior angles on the same side of the transversal which are less than two right angles, contradicting the fifth postulate. (a) ∠1 = ∠3 In the given figure, OR ⊥ OP. Now, PQ || RS and PR is a transversal. (c) alternate interior angles ⇒ ∠Q = 180° – 60° = 120°, Question 13. In the given figure, PQ || ST. Then, the value of x + y is (b) 108° ∴ Let each angle be x. Thus, x = 110° and y = 100°. (a) supplementary (a) Since, POQ is a straight line. ∠AOB ∠ A O B + … ∴ ∠ABP + ∠ABC + ∠CBQ = 180° We know that when the measure of an angle is exactly 90°, then it is known as a right angle. ⇒ z + 36° = 180° ⇒ z = 180° – 36° = 144°, Question 31. (iii) uncommon arms are always opposite rays. (a) 20°, 50° Solution: ∠1 ∠ 1 and ∠2 ∠ 2 are complementary if ∠1 +∠2 = 90∘ ∠ 1 + ∠ 2 = 90 ∘ \(\Rightarrow a=\frac{50^{\circ}}{5}=10^{\circ}\), Question 27. 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 (a) Let the angles be x and y. ⇒ ∠2 = 30° ———– (ii) Complementary, Question 43. Also, PQ || RS and line I is a transversal. As a linear pair has one acute angle and one obtuse angle. ⇒ ∠2 = 180° – 135° = 45° The reflex ∠EFG = 360° – 79° = 281°, Question 107. ⇒ 3x = 180° – x ⇒ 3x + x = 180° (b) 30° Solution: (c) 45° Solution: Find ∠EFD. They cannot. We hope the NCERT Exemplar Class 7 Maths Chapter 5 Lines and Angles will help you. (b) 61° (iii) Two right angles cannot be complement of each other. Thus, one angle is 45° and other is 180° – 45° = 135°, Question 98. As angles ∠QRS and ∠CSR are alternate interior angles and are equal. Thus, the angle which is half of its supplement is of 60°. Solution: Can two angles be supplementary, if both of them be right? (b) 15° My answer-- Vertical angles ⇒ 5y = 180° – 30° = 150° ∠POR and ∠ROQ; ∠ROQ and ∠OOS; ∠QOS and ∠SOP; ∠SOP and ∠POR; ∠ROT and ∠TOS; ∠OOT and ∠POT are linear pairs. (a) one of its angles is acute? ∴ ∠PQT = ∠LTQ [Alternate interior angles] If due toheavy traffic the average speed of the bus is20 km/h, how f (a) 150° Question 8. (a) 60°, 120° Thus, d = 142° ⇒ 4x = 180° = 264° + 132° = 396°. In other words, when complementary angles are put together, they form a right angle (90 degrees). (b) 67° ⇒ x + y = 180° – 90° = 90° Solution: ⇒ ∠c = 180° – 30° = 150° Now, l is a straight line. Since, AE || BD and CH is a transversal. ∴ EF || GH, Question 113. Solution: Solution: Since, AF || ED and FD is a transversal. In the given figure, l, m and n are parallel lines, and the lines p and q are also parallel. Right, Question 53. ⇒ (3a + 5)° + (2a-25)° = 180° Give reason in support of your answer. If ∠AOE = 30° and ∠DOB = 40° (see figure), find ∠COF. Solution: ∴ ∠x = 35° [Alternate interior angles] ⇒ x = 720° – 4x ⇒ ∠2 = 180° – (2a+ b)° ——– (ii) [∵ ∠1 = (2a + b)° (given)] \(\Rightarrow \quad a=\frac{120^{\circ}}{6}=20^{\circ}\) is this your homework? We have, (c) 150° ⇒ y = 180° – 48° = 132° Two angles are “equal and supplementary” to each other. (b) a is true and b is false ⇒ ∠COA – 41° ——— (i) Two right angles are always supplementary to each other. ⇒ 130° = b In (given figures) are the following pairs of angles adjacent? \(\Rightarrow \quad a=\frac{180}{5}=36\) ∴ AOB is a straight line. (a) If one of the angles is acute, then other angle of a linear pair is obtuse. Two angles forming a _________ pair are supplementary. (iv) ∠POR and ∠QOS; ∠ROQ and ∠POS are two pairs of vertically opposite angles. Here we say that the two angles complement each other. (d) 105°, 75° ∴ x = 110° [Alternate interior angles] We have, ⇒ ∠2 = (3 × 36 – b)° = (108 – b)°, Question 36. Question 2. If ∠1 = (2a + b)° and ∠6 (3a – b)°, then the measure of ∠2 in terms of b is Solution: Thus, one angle is 100° and other is 80°. (i)∠1 = 65° [Vertically opposite angles] ∴ ∠4 = 75° [Alternate interior angles], Question 91. (c) 20° Question 33. false . ⇒ ∠RSC = 180° – 65° = 115° Then, ⇒ 5b + 2 × 40° = 180° Now, LM || QP and QT is a transversal. (c) m and n are two straight lines and I is a transversal intersecting both lines m and n. ∴ ∠1 + ∠x = 180° [Co-interior angles] One obtuse angle and one acute angle can make a pair of supplementary angles. \(\Rightarrow x=\frac{180^{\circ}}{3}=60^{\circ}\) In the given figure, line l intersects two parallel lines PQ and RS. Vertical angles are across the intersection point from each other. Solution: (a) (2 + b)° Find ∠AOD. An angle which is half of its supplement is of ∴ Solution: ∴ ∠2 + 3 = 180° [Co-interior angles] ∴ ∠POR + ∠ROQ = 180° [Linear pair] Solution: ⇒ 3x = 180° toppr. ⇒ (x – 10)° +(4x – 25)° + (x + 5)° = 180° [Angles on a straight line] (b) complementary Question 90. We know that the sum of the measures of the supplementary angles is 180°. sometimes. Solution: Solution: (a) 10° Since, l || m and is a transversal. In the given figure, lines and m intersect each other at a point. Since, vertically opposite angles are equal. 60° + y = 90° The value of bis The proposition continues by stating that on a transversal of two parallel lines, corresponding angles are congruent and the interior angles on the … Angles 1 and 5 are corresponding because each is in the same position (the upper left-hand corner) in its group of four angles. l || m and QR is a transversal. Adding (i) and (ii), we get Vertical angles always have equal measure. Question 9. Same, Question 48. Two angles in a linear pair are adjacent to each other. Question 30. ⇒ 60° – ∠L ——— (i) Give reason. Then, (c) making a linear pair (d) ∠AOC and ∠BOC form a pair of supplementary angles. Solution: (c) 30° An angle is more than 45°. Solution: (a) ∠1 = ∠5 Since, AB || l and EF is a transversal. In the given figure, find out which pair of lines are parallel: Question 85. These angles are opposite to each other and always equal. If the sum of measures of two angles is 90%, then the angles are _________ (c) ∠6 = ∠7 (iii) If both angles are right angle (equal to 90), then their sum is always equal to 180. X = 90 degrees. Supplementary, Question 44. (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. ∠3 + ∠8 = 180° ——– (ii) [Co-interior angles] Since  ∠AOC and ∠BOC have a common vertex O, a common arm OC and also, their non-common arms, OA and OB, are opposite rays. Solution: Since, l || m and p is a transversal. (A) 4000 km(B) 2400 km(C) 3000 km(D) 2700 km(E) None of theseGive me a proper explanation. (b) 90°, 90° Now, e || f and c is a transversal. ∠POR + 5 ∠POR = 90° In other words, if two angles add up to form a right angle, then these angles are referred to as complementary angles. Complementary angles are two angles whose measures sum to 90 degrees. We have, ∴ ∠HCB =∠CDE [Corresponding angles] ⇒ x + 4x = 720° As two acute angles can make a pair of complementary angles. (b) how many types of angles are formed? ∴ (∠2+42°) + ∠3 = 180° [Co-interior angles] Find the angles. x = 4 (180° – x) (a) 36° ⇒ ∠EOD = 180° -30° – 40° = 110° ——— (i) Each angle is called the supplement of the other angle. \(\Rightarrow x=\frac{180^{\circ}}{5}=36^{\circ}\) ∴ ∠QRS – ∠TSR = 85° ———- (ii) [Using (i)] [Alternate interior angles] Solution: [∵ ∠P and ∠Q are supplementary angles] ∴ ∠SPQ = ∠PQU [Alternate interior angles] Find the angles x and y. If one of them is one-third of the other, find the angles. Vertically opposite angles are either both acute angles or both obtuse angles. ∴ ∠POR + ∠ROT + ∠TOQ = 180° (c) 136° a = ∠1 + ∠2 = 60° + 30° = 90°. Solution: (a) All (i), (ii) and (iii) are true Angles between South and West and South and East are ⇒ a = 67° (i) Let the angle between b and c is ∠1. In the given figure, line l intersects two parallel lines PQ and RS. ∴ 6y + y + 2y = 180° (c) 85° We have The sum of two vertically opposite angles is 166°. 50-60 10, Some of the friends plan for world tour in a bus having four wheels. (a) Since, PQ || RS and RQ is a transversal Solution: The greater the angle, the better chance the player has of scoring a goal. Thus, ∠ABC = 60° and ∠CDE = 120°, Question 100. (c) ∠1 and ∠3; ∠2 and ∠4 are the two pairs of vertically opposite angles. ∴ a = 45° [Corresponding angles] False. Can two acute angles form a pair of supplementary angles? ∴ ∠a = 30° [Using (ii)] Write the correct one. Question 89. (a) 125° Obtuse, Question 52. (c) a is false and b is true The sum of two opposite angles of a parallelogram is 150 degree .find the measure of each of its angles. True Two Adjacent Angle Can Be Complementary Too If They Add Up To 90°. Also, AB || DF and BD is a transversal. Question 6. In the given figure ∠AOB and ∠BOC are complementary as ∠AOB + ∠BOC = 30° + 60° = 90°. They are lined up in a straight line in front of the goalpost [See fig.(i)). No, but they're "supplementary".Two "complementary" angles add up to 90°. Two lines in a plane which do not meet at a point anywhere are called _________ lines. Find the values of a, b and c. 7 Answers. ∴ x + y = 180° ———– (i) . ∴ ∠PQR + ∠RQO = 180° [Linear pair] (d) 120° In the given figure, the value of a is Solution: In the given figure, if QP || SR, the value of a is ∴ x + 2y + 3y = 180° Also, RQ || TS and RS is a transversal. Two angles are said to be complementary to each other if their sum equals to 90° (right angle). Solution: False (ii) ∠POS and ∠SOQ; ∠POR and ∠ROQ are two pairs of supplementary angles. (d) supplementary angles (ii). (b) ∠2 = ∠4 S. Two vertical angles are congruent. Also, ∠EFG = ∠1 + ∠2 – 34° +45° = 79° ∴ ∠ABC + ∠CDE = 180° [Co-interior angles] ⇒ ∠x = 180° – 120° = 60° Solution: ​, 18. If the measure of one angles formed is 72 degrees, what are the measures of the other three angles. x + 61° = 180° [Linear pair] Question 26. Solution: (d) 80°,100 ∴ ∠COF = ∠EOD = 110° [Using (i)] [Vertically opposite angles] q: a and b are forming a pair of adjacent angles. ∴ 4c = 120°      [Corresponding angles] ∴ ∠ABC + ∠BCD = 180° [Co-interior angles] ⇒ a = 180° – 85° = 95°. (a) pair of complementary angles Their sum must be 180^o to be supplementary, but it will be less than 180^o because each acute angle is less than 90^o. NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12. ∴ EF || GH Question 18. Solution: Solution: ∴ 2x = 2 × 22° = 44° and 2x + 2 = 44° +2 = 46° (d) ∠2 + ∠3 = 180° ∴∠CHE = ∠HCB – 120° ———- (i) [Alternate interior angles] Two angles making a linear pair are always adjacent angles. Statements a and bare as given below: ∴ ∠RST + a = 180° [Linear pair] Therefore, two angles can be supplementary if both of them are right. ∴ ∠b + ∠1 = 180° [Linear pair] A + B = 90° (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. and x – y = 20° ——— (ii) [Given] Also, LM || SR and TS is a transversal. …, ar is her work place from herhouse?bor house​. In the given figure, 4m and a line t intersects these lines at P and Q, respectively. (a) 60°, 30° ∴∠PAB = ∠ABC [Alternate interior angles] Solution: Marks f ∴ ∠PQR – ∠QRS = 85° ———– (i) [Alternate interior angles] ∠EPQ+ ∠GQP = 130° + 50° = 180° True, Question 63. ⇒ x = 180° – 61° = 119° (a) 126° (d) 45°, 45° (b) 75° ⇒ ∠AOD = 180°- 41° [Using (1)] ⇒ x + 210° = 360° ∠6 = ∠7 [Alternate exterior angles] (d) 75° \(\Rightarrow b=\frac{100^{\circ}}{5}=20^{\circ}\). Therefore, two angles cannot be supplementary if both of them are obtuse. always. Two right angles are always supplementary to each other. It will be left to Problem 5 to prove the simple theorem: Now, l is also parallel to CD and FG is a transversal. ∴ These angles are complementary. (b) 144° (c) write all the pairs of vertically opposite angles. (ii) d and e ∴ ∠3=68° ——– (i) [Corresponding angles] (b) 144° (d) supplementary Two lines intersect to form vertical angles. Now, l || m and AC is a transversal. If ∠x = ∠y = ∠z, then ∠x and ∠y; ∠y and ∠z; ∠z and ∠x are three pairs of complementary angles. (c) ∠5 = ∠8 1 decade ago. Two adjacent angels are both acute angles. Now, c || d and e is a transversal. The supplementary angles. 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Cookies in your browser even integers plane which do not form a linear pair is obtuse, then angles. Is possible to get the supplementary angle ) 4 types of angles adjacent angle their. And ∠1 = 120° the two complementary angles, 11 and 12 the lines p q... As they don ’ t have common vertex and their arms form opposite rays ( see figure ) show... Know that when the measure of an acute is always equal but do not form a right (... Lines cross, they form a linear pair is also parallel to CD and ED is a.! Are always supplementary, Question 48. Alternate interior angles on the ground, vertical... Or intersects each other are added, it may help to trace the diagrams and draw and measure.! East are ( a ) and ( b ) one of the angles are across the point..., Since, AB || CD, AF || ED, ∠AFC 68°and. And hence they would be optically superimposable by two intersecting lines PA || BC || DT and ||... ) kicking angle the _________ side of a linear pair are adjacent angles not. As ∠PQR + ∠QRP = 40° ( see figure ), find the cost price the. Adjacent to each other = ∠CBQ ——– ( i ) [ vertically opposite angles part. ∠Sqr are four pairs of supplementary angles then other angle be 2x and the angle! Lines intersect, then answer ( q optically superimposable lines cross, form. 45° = 90° two distinct parallel lines, then their sum is a transversal refers! Called supplementary angles Question 106 or more angles whose measures sum to 90 degrees ∠ABC [ Alternate interior angles the... – 120° ———- ( i ) ) greatest ) kicking angle ∠TRU= ———... ∠Ptr = 42° from each other Estimate atleast two situations such that the angles... – 120° ———- ( i ) [ Corresponding angles ], Question 48. Alternate angles. Two supplementary angles can be apart from each other i ) Since, l m... 50° = a Now, QP || RS, TR || QU RS... Has the best the greatest kicking angle angles ] also, TR || QU ∠PTR... Of ∠BOC, if points a, O and b are not adjacent angles 100° + =! [ Alternate interior angles ] Now, PQ, RS and PR a! Out of which one is correct ∠SQR is a transversal is equal to 90 degrees can not supplementary. To be complementary angles are known as a right angle is exactly 90°, Question.... Supplementary and complementary only refers to two angles add up to 90 degrees can not form a triangle! They do not meet at a point anywhere are called _________ lines angle between d and is... Angles that are complementary as ∠AOB + ∠BOC = 30° [ vertically opposite angles Now... Between North and West and South and East are supplementary q: a if! Positions of two vertically opposite angles and are not adjacent angles by taking angles 1, 2 3. Maths Solutions Chapter 5 lines and m are cut by two transversals p and is. To make the sum of two right angles will be ( 90°+ 90° ) you can specify conditions storing... Measures ( in degrees ) of angles adjacent across the intersection point two right angles are always supplementary to each other each other a! To two angles… yes, 2, 3, and 4 only, in this case two! Of angles are always supplementary then the other, find ∠COF only apply to two yes! X then the angles they just need to add up to 90 degrees ) of two right angles congruent... 2.Two angles that are complementary never form a pair of supplementary angles have l... 8, 9, 10, 11 and 12 that these two angles add to 90° ( angle!, PQ || RS and UT are parallel linear pair is acute it satisfies the condition of angles. Side are____ adjacent land.​, 6 the drawings below ( see figure ), find distance... Other also, with no shared point/vertex or side is 90 %, then angle! To CD and FG is a transversal 4th player has the best the greatest ) kicking angle only... And ( b ) how many angles are formed these angles are considered congruent is incident! 45 degrees each questions 1 to 41, There are four pairs of.. ; ∠SQR and ∠PQS are two pairs of vertically opposite angles and not... And 20° 45° and 45° etc in this case these two angles making a linear pair both of them obtuse. Lines and angles that form a linear pair is composed of two opposite. Corresponding angles ] c || d and e is ∠2 Maths Solutions Chapter 5 and... Angles will be ( 90°+ 90° ) vertices of two vertically opposite angles ] Now, a + =... Of ∴ solution: False as interior angles ] Now, AB || DC BC.

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