(b) x = 35 Answer: (d) Explanation : Two angles form a linear pair. (Why?) Lines AB and CD are intersecting each other. (c) Both of the angles forming a linear pair can be obtuse angles. (a) 45° If two angles are supplementary then the sum of their measures is __________. (c) 10° So, x + 65 o = 180 o. x = 180 o – 65 o. x = 115 o If Two Angles Form A Linear Pair, The Angles Are Supplementary. 3. (c) right If two adjacent angles are supplementary, they form a ………………. (d) Cannot be said, Question 7. (a) 45° 24. (a) An obtuse angle Can two obtuse angles be adjacent angles? Solution: Question 1. Sum of complementary angles is 90°. If in the given figure \(\angle \) x = \(\angle \) y then : sometimes. Answer: (c) Two right angles can form a linear pair ∠ y + ∠ x = 60° + 120° = 180° Have one common side "op". Can two acute angles form a pair of supplementary angles? Solution: Question 11. (a) x = 50° (d) None of these. Answer: (a) x = 50° Can an acute angle be adjacent to an obtuse angle? Name a linear pair. (a) 35° (d) None of these. (c) 112°, 68° (d) None of these. Are ∠1, ∠2 a linear pair? (b) 63°, 27° State whether the given statements are true or false: Question 1. Sum of two angles is 90°. (a) 25° right angles theorem. The pairs of angles are nothing but the two angles. (c) none of these. 25. (d) A right angle, Question 13. Answer: (d) None of these Students can access the NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles Pdf free download aids in your exam preparation and you can get a good hold of the chapter. What do we call an angle which exactly measures 90°? (c) Remains the same Answer: (b) (a, b) and (c, d) (d) 90°, Question 23. Name two obtuse vertical angles. If two lines are parallel then sum of interior opposite angles is 180°. (a) 180° Can an acute angle be adjacent to an obtuse angle? (b) Triples (c) 120° Question 1. (Why?) Answer: false. Which instrument is used to measure or construct angles? What are the lines which lie on the same plane and do not intersect at any point called? Name a pair of adjacent angles. (d) Set squares, Question 24. 19. (a) 65° (iv) ∠BOE is …………. (d) x = 115° Answer. (iv) Two adjacent angles always form a linear pair. Example 4: 1 and 2 form a linear pair so m 1 + m 2 = 180° therefore the angles … 7. (d) none of these, Question 30. Answer: true. Complementary pair of angles : Adjacent angles that do not form a linear pair mean, angles have common ray but the angles in a linear pair are not supplementary. 1. Two angles form a linear pair. (d) 45°, Question 3. (v) Pair of vertically opposite angles are always supplementary. (d) Bisectors of the adjacent angles forming a linear pair form a right angle. Question 4. (c) Protractor (vi) Can an acute angle be adjacent to an obtuse angle? Question 22. Question 8. Name a linear pair. Complementary to 0° angle is : (c) (a, c) and Answer: (b) 180° A line that intersects two or more lines at distinct points is called In the diagram below, ∠ABC and ∠DBE are supplementary since 30°+150°=180°, but they do not form a linear pair since they are not adjacent. Question 14. What is the measure of the complement of 65°? For #1-6, use the figure at the right. Answer: (a) 55° (c) 49° Solution: Question 10. (c) 175° In the given value of x is : Answer: (c) None of these 1. No,two obtuse angles can't form a linear pair. (d) 4 (d) Infinitely many, Question 19. Name a pair of complementary angles. Are two alternate angles equal if a transversal intersects two parallel lines ? (d) 360°, Question 21. (b) 75° 3. (a) x = 75° (b) l ≠ m Which of the following pairs of angles form a linear pair? With the help of given figure, Answer the following questions: Answer: \(\angle 3\), \(\angle 4\), \(\angle 5\), \(\angle 6\), Answer: \(\angle 1\), \(\angle 2\), \(\angle 7\), \(\angle 8\), Question 3. If one angle of a linear pair is acute, then the other angle is Identify which of the following pairs of angles are supplementary. A supplementary angle is either one of a pair of angles which, together, add up to exactly 180 degrees. 13. (d) straight (b) 47°, 133° (xiv) If two lines are cut by a transversal such that a pair of corresponding angles are not equal, then the lines are ……….. (d) A reflex angle, Question 20. We believe the knowledge shared regarding NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download has been useful to the possible extent. (d) 80°, 10°, Question 11. (a) Two acute angles can form a linear pair. The sum of the measures of two angles is 90°, the angles are called ………….. angles. Solution: Question 5. Identify supplementary pair of angles : Find the value of x in the given figure if lines \( p \parallel q \) : (a) 70° Answer: (b) 125° Answer/Explanation. (a) 1 Sum of linear pair is 180°. (c) 90° (vii) If two lines are cut by a transversal, (b) 130°, 50° Suppose two angles ∠AOC and ∠ BOC form a linear pair at point O in a line segment AB. Answer: (a) 180° always. always. then each pair of alternate interior angles are equal. In the given figure, AB || CD. Question 6. (b) transversal Can two obtuse angles be adjacent angles? If sum of two angles is 180°, i.e., pair of supplementary. Can two adjacent angles be complementary? Question 1. Measure of the supplement of 0° : definition of obtuse angle. (a) Compasses (b) 55° (a) Two acute angles can form a linear pair. If two lines are parallel then corresponding angles are equal. (ii) If two angles are supplementary, then the sum of their measures is ………… Two Adjacent Angle Can Be Complementary Too If They Add Up To 90°. (b) 45° Sum of supplementary angles is 180°. (a) 20° (d) 40°, 50° https://www.answers.com/Q/Can_two_obtuse_angles_form_a_linear_pair (c) No relation. If in the given figure \( l \parallel m \) then : (i) ∠AOC and ∠COE form a pair of ……….. angles. One angle will be acute and the other obtuse; such that they are supplementary. I. Are two alternate angles equal if a transversal intersects two parallel lines ? If two lines intersect at a point, then the vertically opposite angles are always ________ . (b) 95° vertical angles theorem. Question 5. Are ∠1, ∠2 a linear pair? (d) 50° Adjacent angles have a common …………… and a common …………………, 4. No! (c) 35° (a) 135° (b) 0° An angle is a figure where, from a common position, two rays appear. If an angle measures 10° more than its complement, then the measure of the angle is Explanation: A linear pair of angles is formed when two lines intersect. (a) 0° – 90° (i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles (v) Adjacent angles that do not form a linear pair 5.3 PAIRS OF LINES 5.3.1 Intersecting Lines LINES AND ANGLES In the Fig 5.22, p is a transversal to the lines l and m. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. Observe the figure and fill in the following blanks: (c) A right angle (a) (a, d) Question 10. (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 …….. 2. (a) 60° What is the measure of the complement of 41°? Pairs of corresponding angles, Answer: \(\angle 1\) and \(\angle 5\), \(\angle 2\) and \(\angle 6\), \(\angle 3\) and \(\angle 7\), \(\angle 4\) and \(\angle 8\), Question 4. Linear pairs of angles are adjacent and are supplementary, that's they add upto 180°. (i) Two obtuse angles can be supplementary. (c) 60°, 120° (a) 90° Hence, one angle has to be acute and other angle obtuse if there sum is 180 degrees. (c) 35° If the sum of two adjacent angles is 180∘ 180 ∘, then the non-common arms form a line. State the property that is used in each of the following statements: Question 27. (b) 15° (c) Corresponding angles (c) 80° Can two obtuse angles form a linear pair ? Name two acute adjacent angles. Answer: No two obtuse angles cannot form a linear pair as their sum will exceed , but the sum of angles in linear pair is . Give reason in support of your answer. Indicate vertically opposite angles : Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. Calculate the measure of each lettered angle in the following figures (parallel line segments / rays are denoted by thick matching arrows): Solution: Question 6. The measure of one angle is 15 less than half the measurement of its supplement. (iii) Supplement of an obtuse angle is ………. Measure of the supplement of 100° : Can two acute angles form a linear pair ? Question 4. (viii)Angles formed by two intersecting lines having no common arms are called ……….. (b) obtuse (c) x = 70 (b) 2 (a) x = 60° Question 85. 3 is a right angle II. (c) 360° State whether the following statements are true (T) or false (F): Observe the following diagram of a Linear Pair ∠ x and ∠ y are two adjacent angles because: Both are supplementary to each other i.e. Can two right angles forms a linear pair ? Question 12. (iv) Can two adjacent angles be supplementary? (c) unequal The sum of the measures of the angles in a linear pair is (a) 90° (b) 180° 18. (a) 70+ 20 (ii) Two acute angles can form a linear pair. (xii) Corresponding angles are on the ……….. side of the transversal. Vertically opposite angles are equal. 20 sum of two angles are supplementary what happens to the measurement of its.... 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