Example: We have ∠A = 25°. True or False? (xiii) Alternate interior angles are on the opposite side of the transversal. (iv) Two adjacent angles always form a linear pair. (vi) 30° is one-half of its complement. have a point in common). (False) (vi) 30° is one-half of its complement. Complementary angles must be acute. (v) If two adjacent angles are supplementary, then they form a ……….. In the given figure, AB is a straight line and OD ⊥ AB. (vii) Adjacent angles have a common vertex, a common arm, and no common interior points. Enroll in one of our FREE online STEM summer camps. (False) Correct: As the sum of two acute angles is less than 180°. If ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is (a) 30° (b) 50° (c) 80° (d) 130° Solution: In the given figure, AB || CD, ∠APQ = 50° ∠PRD = 130°, ∠QPR = ? Two angles are adjacent if they share a vertex and an edge with one angle on one side of the edge and the other on the other side. (ii) If two angles are supplementary, then the sum of their measures is 180°. (d) x = 45 of ∠EOA. Verticle angles never have equal measure. (a) 40° If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of transversal is (b) obtuse (iv) Two adjacent angles always form a linear pair. 3. If lines are parallel than the corresponding angle are the same and if lines are not parallel than angles are different. (c) 3 4.if a transversal intersect two lines, alternate angles are equal. False. FALSE. (vi) 30° is one-half of its complement. (d) 50° (b) 35°, 55° Complementary angles need to be adjacent. (b), Question 11. , Supplementary angles must be obtuse. Two adjacent angles can be complementary.\nc. True only if the two angles are adjacent (i.e. Question 1. Get Instant Solutions, 24x7. (iii) Two obtuse angles can form a linear pair. (iii) ∠AOC is ………… of ∠COD. (viii) If two lines are cut by a transversal, then each pair of alternate interior angles are equal. In the gitsen figure, if l || m then the value of x is (a) x = 75° (b) x = 95° (c) x = 105° (d) x = 115° Solution: In the given figure, l || m ∠1 = 75° (Vertically opposite angles) and ∠1 + x = 180° (Co-interior angles) x + 75° = 180° x = 180° – 75° = 105° (c), Question 13. Answer: (a) 5. They cannot be supplementary. (ii) ∠AOC and ∠COB are ……….. angles. If two angles are acute, then they are supplementary. STUDY. find a quadratic polynomial whose zeroes are √7 and -√7 Q11. If ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is (ix) If two lines intersect and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are …….. , A pair of vertical angles can be complementary. (vi) 30° is one-half of its complement. (a) 130°, 50° (iii) ∠AOC is ………… of ∠COD. true. (ix) If two lines intersect and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are obtuse angles. (b) 2 (xiii) Alternate interior angles are on the ………… side of the transversal. As the sum of complementary angles is 90°. (ii) Two acute angles can form a linear pair. Complementary Angle. The measure of the complement of the angle 46° is (a) 90° (b) 46° (c) 16° … The Sum Of The Measure Of The First Angle And Half The Second Angle Is 80.5%. (iii) Two obtuse angles can form a linear pair. (∵ Linear pair = 180°) (b), Question 9. Match. Answer to Answer true or false. (a) acute Solution: Choose the correct answer from the given four options (4 to 14): If a transversal intersects two parallel lines, then each pair of alternate interior angles are equal. Calculate the measure of each lettered angle in the following figures (parallel line segments / rays are denoted by thick matching arrows): Angles cannot be parallel since that is a characteristic of lines, not angles! Two supplementary angles always form a linear pair.\n\\phi. if an angle and two sides of one triangle are congruent to an angle and two sides of another triangle, then the triangles are congruent. (a) Two acute angles can be complementary to each other (b) Two obtuse angles can be complementary to each other (c) Two right angles can be complementary to each other (d) One obtuse angle and one acute angle can be complementary to each other. (False) Correct : If the two lines are parallel, then it is possible. (iii) Two obtuse angles can form a linear pair. Angles /_a and /_b are complimentary (sum of them equals to 90^o) and acute. Algebra -> Angles-> SOLUTION: - Find one counterexample to show that each conjecture is false.1. false, intersect at a right angle. (False) Correct : As the sum of two obtuse angles is greater than 180°. True or False? (d) 150° A pair of supplementary angles is (a) 55°, 115° (b) 65°, 125° (b) 47°, 133° (d) 40°, 50° Solution: A pair of supplementary angles is 47°, 133°. In the gitsen figure, if l || m then the value of x is (ii) Two acute angles can form a linear pair. (b), Question 5. Two supplementary angles are always obtuse angles. Click here to get an answer to your question ️ True or false. Calculate the measure of each lettered angle in the following figures (parallel line segments / rays are denoted by thick matching arrows): Solution: (i) In the given figure, Given ∠s are 72° and 55° a = 55° (Corresponsing angles) c = 72° (Alternate angles) But b + c + 55° = 180° (Angles on the one side of a straight line) ⇒ b + 72° + 55° = 180° ⇒ b + 127° = 180° ⇒ b = 180° – 127° = 53° a = 55, b = 53°, c = 72° (ii) In the given figure, Given ∠s are 135° and 110° p = 135° (Alternate angles) p + r + 110° = 360° (Angles at a point) ⇒ 135° + 110° + r = 360° ⇒ 245° + r = 360° ⇒ r = 360° – 245° = 115° But r + q = 180° (Co-interior angles) ⇒ 115° + q = 180° ⇒ q = 180° – 115° = 65° p = 135°, q = 65°, r = 115° (iii) In the given figure, Given angle is 110° p = ∠1 (Vertically opposite angles) But ∠1 + 110° = 180° (Co-interior angles) ⇒ ∠1 = 180° – 110° = 70° ⇒ p = ∠1 = 70° s = 110° (Alternate angles with 110°) p = q (Corresponding angles) q = 70° r = q (Alternate angles) r = 70° Now, p = 70°, q = 70°, r = 70°, s = 110°, ICSE Previous Year Question Papers Class 10, ML Aggarwal Class 7 Solutions for ICSE Maths, Concise Mathematics Class 10 ICSE Solutions, Concise Chemistry Class 10 ICSE Solutions, Concise Mathematics Class 9 ICSE Solutions, Thank You Letter for Job Interview, Friend, Boss, Support | Appreciation and Format of Thank You Letter, How To Write a Cover Letter | Format, Sample and Important Guidelines of Cover letter, How to Address a Letter | Format and Sample of Addressing a Letter, Essay Topics for High School Students | Topics and Ideas of Essay for High School Students, Model Essay for UPSC | Tips and List of Essay Topics for UPSC Exam, Essay Books for UPSC | Some Popular Books for UPSC Exam, Sample Essay for UPSC | How to Prepare and Important Essay Topics for UPSC Exam, IAS Essay Topics | Important List of IAS Essay Topics for Students and Children in English, CAPF Essay Topics | Important Topics of CAPF Essay for Students and Children in English, Value of Games Essay | Essay on Value of Games for Students and Children in English, Bullying in Schools Essay | Essay on Bullying in Schools for Students and Children in English. (b) 50° (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. (v) Pair of vertically opposite angles are always supplementary. Write. Solution: Question 1. Can You Find The Measures Of The Angles. If you add two acute angles in which each angle is large as possible, its sum will be less than 180°. true or false: an acute triangle can also be scalene. (c) 135° State whether the following statements are true (T) or false (F): (i) Two obtuse angles can be supplementary. (xii) Corresponding angles are on the ……….. side of the transversal. If an angle measures 10° more than its complement, then the measure of the angle is (a) 40° (b) 55° (c) 35° (d) 50° Solution: If one angle measures 10° more than its complement, then measure of the angle = 50°. (a) 55°, 115° A pair of complementary angles is (ii) Two acute angles can form a linear pair. Two obtuse angles can be supplementary.\" Answer verified by Toppr . There are 3 interior angles in a triangle; therefore no two angles in a triangle can ever be supplemental whether it is a right triangle or not. Upvote (33) Was this answer helpful? 100. acute angle. false, W is the vertex . (b) 47°, 133° Click hereto get an answer to your question ️ \"State whether the following statements are true or false.\na. 5.if a transversal intersects two lines and the corresponding angles are equal,then the two lines are parallel. Acute angles are those which are less than 90°. (iv) Two angles forming a linear pair are ………. 1 two obtuse angles can be supplementary 2. two right angles can from a linear pair Question 1. (viii) Angles formed by two intersecting lines having no common arms are called vertically opposite angles. A Measure of Acute Angle = 360° – a Measure of Reflex Angle. How Can A Triangle Have Three Right Angles? , Two acute angles can be supplementary. Using the reflex angle, we can find the measure of the acute angle. (ii) ∠AOC and ∠COB are ……….. angles. ∠B = 63°. (False) Correct: As the sum of two obtuse angles is greater than 180°. true or false: a triangle can have 2 right angles. (c) 80° (iv) Two adjacent angles always form a linear pair. (iii) Two obtuse angles can form a linear pair. Choose the correct answer from the given four options (4 to 14): Question 4. (xiv) If two lines are cut by a transversal such that a pair of corresponding angles are not equal, then the lines are ……….. Can two angles be supplementary if both of them are: (i) acute (ii) obtuse (iii) right? (x) Two lines in a plane which never meet are called ………. If an answer is false, explain why.Two acute angles cannot be supplementary.. Students can also refer to NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles for better exam preparation and score more marks. true or false. Solution: Your email address will not be published. If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of transversal is (a) 1 (b) 2 (c) 3 (d) 4 Solution: Two lines are intersected by a transversal then a number of pairs of interior angles on the same side of the transversal is two. Question 61. (xi) Alternate interior angles have one common ………… (xii) Corresponding angles are on the ……….. side of the transversal. Complementary angles must be acute. A pair of vertical angles can be complementary. Vocab . (d) x = 115° Question 4. (b) x = 35 If an angle measures 10° more than its complement, then the measure of the angle is Answer. (d) x = 25 ML Aggarwal Class 7 Solutions Chapter 10 Lines and Angles Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams. (iv) Two angles forming a linear pair are supplementary. (iii) ∠AOC is the complement of ∠COD. Your email address will not be published. If two angles add up to measure 90° then they are known as complementary angles. Observe the figure and fill in the following blanks: (i) ∠AOC and ∠COE form a pair of ……….. angles. False - 2 acute angles do not add to 180 degrees . Then the values of x and y are respectively: (a) 50°, 120° (b) 50°, 130° (c) 60°, 120° (d) 60°, 130° Solution: In the given figure, PA || BC || DQ AB || DC x = 50° (Alternate angles) ∠BCD + ∠ABC = 180° (Sum of co-interior angles) ⇒ ∠DCB + 50° = 180° ⇒ ∠DCB = 180° – 50° = 130° BC || DQ ∠DCB = ∠CDQ (Alternate angles) y = 130° x = 50°, y = 130° (b), Question 1. By definition, acute angles are the angles that measure the angle greater than 0° and less than 90°. (iv) Two angles forming a linear pair are ………. question: 1&2 are supplementary, so one of the angle is acute Log On truth or false. (a) Let first angle = x° x = \(\frac { 180\times 3 }{ 4 }\) = 135°, Question 7. Gravity. In the given figure, the value of x that will make AOB a straight line is (a) x = 40 (b) x = 35 (c) x = 30 (d) x = 25 Solution: AOB will be a straight line if 3x + 15 + 2x – 10° = 180° ⇒ 5x + 5 = 180° ⇒ 5x = 180° – 5 = 175° ⇒ x = 35° (b), Question 10. ? (x) Two lines in a plane which never meet are called parallel lines. (i) Two obtuse angles can be supplementary. false. Ans : False 4. (c), Question 6. true. Lines and Angles Class 7 MCQs Questions with Answers. Key Concepts: Terms in this set (37) Complentery angles messure up to 90 degrees. State whether the following statements are true (T) or false (F): (i) Two obtuse angles can be supplementary. true or false: Q is the vertex of Angles- solution... Of them equals to 90^o ) and acute xiii ) Alternate interior angles have one common ………… ( )... Maths Chapter 5 lines and the corresponding angle are the same and if lines cut! Read the following blanks: ( i ) ∠AOC and ∠COB are ……….. angles we can find the of! ) corresponding angles are complementary, then each pair of supplementary angles add up to 180 deg!
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