(b) 30° (b) 32°, 58° (a) Two acute angles can be supplementary. (a) 30° Both angles of a pair of supplementary angles can never be acute. In the following figure, l || m. Find the measure of ∠ x. Find the measure of the angle which is double of its complementary angle? (c) 60° The measure of one angle is 15 less than half the measurement of its supplement. always. (d) 90°, Question 16. Answer: false. Two angles that sum to a straight angle (1 / 2 turn, 180°, or π radians) are called supplementary angles. (a) Two acute angles can form a linear pair. (c) 36° (a) 90° Hint: If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles … (i) Fig 5.11 (ii) In Fig 5.1 1 (i) above, observe … Two obtuse angles are complementary. Can two acute angles form a linear pair? Answer: (b) supplementary The measure of an angle is three times the measurement of its complement. (a) ∠1, ∠2 (b) 180° But the acute angles have their maximum value of thus their sum cannot be . (c) ∠3, ∠7 Answer: (b) Two right angles can be supplementary. Answer By Toppr. Question 17. (a) 180° Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. (a) When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel. Solution: No, two acute angles cannot form a pair of supplementary angles. (ii) Two acute angles can form a linear pair. (d) 90°. (b) complementary angles Answer. Hint: Hint: The measure of the supplement of the angle 120° is Question 7. (a) 50° (a) If two angles form a linear pair, then each of these angles is of measure 90c (b) Angles forming a linear pair can both be acute angles. (c) 300° (d) One obtuse angle and one acute angle cannot be supplementary. (ii) Two acute angles can form a linear pair. (а) 90° sometimes. (a) 45° Two obtuse angles are complementary. Find the measure of the angle which is half of its supplementary angle? (d) 120°. (b) 100° [Image will be Uploaded Soon] (b) 120° Two angles form a linear pair. Students can also refer to NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles for better exam preparation and score more marks. ∠3, ∠5 are alternate interior angles. (b) 60° Question: 19. Answer: true. Such angles are called a linear pair of angles. Hint: math. The sum of the measures of two complementary angles is One acute and one obtuse angle can be supplementary. (b) Two adjacent angles cannot be supplementary (c) An acute angle cannot be adjacent to an obtuse angles. (c) 0°, 90° (a) 56° (а) supplementary angles Two angles form a linear pair. (a) ∠1, ∠5 ∠1 = ∠2; ∠1 + ∠2 = 100° Therefore, two acute angles will not form a linear pair. (a) Two adjacent angles can be complementary. ∠ 4 = 360° – 230° = 130°. (a) 30° (b) When a transversal cuts two parallel lines, each pair of alternate interior angles are equal. Can two acute angles form a linear pair? The sum of the measures of the angles in a linear pair is (d) A transversal cuts two parallel lines in three points, Answer: (d) A transversal cuts two parallel lines in three points, Question 28. Answer: (a) 60° Solution : False Linear pair is always in a straight line. Statement C is true. The measure of one angle is 24 more than the measure of the other angle. One acute and one obtuse angle can form a linear pair. (d) 120°. (a) Two vertically opposite angles can be acute Hint: ∠1, ∠2 simply make a linear pair. Statement C is true. (b) Two obtuse angles can form a linear pair x° = 2(90° – x°) ⇒ x° = 60°. For two angles to be adjacent, they only have to share a leg, which puts no restrictions on whether the non-common legs form a straight line or not. (d) Bisectors of the adjacent angles forming a linear pair form a right angle. ∠QEN and ∠QEM are adjacent to each other, and when the sum of adjacent angles is 180°, then such angles form a linear pair of angles. a. Question 8. What is the measure of the complement of the angle 90°? Vertical angles are a pair of nonadjacent angles, ∠1 and ∠2, formed by two intersecting lines. Question 35. Solution: No, two acute angles cannot form a linear pair because their sum is always less than 180°. Best answer. (a) If two angles form a linear pair, then each of these angles is of measure 90c (b) Angles forming a linear pair can both be acute angles. Question 6. In the following figure, if ∠1 + ∠2 = 100°, then the measure of ∠4 is equal to (d) vertically opposite angles. Sum of linear pair … 120° + 90° = 210° ≠ 180°. Which of the following pairs of angles is not a pair of supplementary angles? ⇒ Complement of 46 = 90 − 46 = 44, Question 6. (b) ∠2 + ∠5 = 180° Filed Under: MCQ Questions Tagged With: NCERT Solutions for Class 7 Maths, Your email address will not be published. Question 33. Linear pair is a pair ofadjacent angleswhere non-common side forms a straight lineSo, In a linear pair, there are two angles who haveCommon vertexCommon sideNon-common side makes a straight line or Sum of angles is 180°Linear pairLinear pair is a pair of adjacent angles where non-common side forms a Question 18. Such angles are called a linear pair of angles. (v) Pair of vertically opposite angles are always supplementary. (d) 60°. Answer. Question 45. (a) 45° (b) complementary angles NCERT Solutions for class 7 maths chapter 5 lines and angles topic 5.2.4 . (a) 60° Answer: (d) 130° Also, ∠ABC = 60°. Answer: (c) Two right angles can form a linear pair No: Two angles are a linear pair, if and only if:!) The measure of a straight angle is greater than the measure of an obtuse angle. (c) vertically opposite angles always. (d) none of these. Answer: (a) 60° When the sum of the measures of two angles is 90°, the angles are called What is the measure of the supplement of the angle 0°? Solution : True (b) Two vertically opposite angles can be obtuse (d) Bisectors of the adjacent angles forming a linear pair form a right angle. (b) ∠2, ∠6 (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. (d) 45°. (d) ∠3, ∠5. Answer: true. always. asked Apr 5 in Lines and Angles by ShasiRaj (62.4k points) lines and angles; For example, 85° and 75° are two angles such that 85° + 75° = 160° < 180°. (a) 30° (ii) If y = 110, what is the … (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. 32° + 58° = 90° ≠ 180°. (d) 4°, Question 21. Question 32. 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