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CBSE Class 7 Mathematics MCQ
Lines And Triangles
with Answers
NCERT Class 7 Mathematics 5
Question 1: Measure of a reflex angle lies between:
(A) 0º and 360º
(B) 90º and 180º
(C) 180º and 360º
(D) 0º and 180º
Answer : CShow Answer :
Question 2: <x and <y form a linear pair. If <y = ( <x + 60 º) then <x = ________
(A) 60º
(B) 120º
(C) 30º
(D) 90º
Answer : AShow Answer :
Question 3: Number of angles formed by a transversal, when it intersects 3 parallel lines is:
(A) 8
(B) 12
(C) 4
(D) 6
Answer : BShow Answer :
Question 4: If one angle is (90−x)º. Find the supplement.
(A) 90
(B) x
(C) x−90
(D) 90+ x
Answer : DShow Answer :
Question 5: In the given figure <AOC=( 2x- 5)º and <BOC= (3x + 10)º.Find the value of x.
(A) 40º
(B) 30º
(C) 35º
(D) 19º<
Answer : CShow Answer :
Question 6: When two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are :
(A) equal
(B) supplementary
(C) complementary
(D) none of these
Answer : BShow Answer :
Question 7: Two angles which have one common vertex and their arms are opposite rays are called :
(A) vertically opposite angles
(B) alternate interior angles
(C) linear pair
(D) right angles
Answer : CShow Answer :
Question 8: Measure of an angle lies between ____ and ____ :
(A) 0º and 180º
(B) 0º and 360º
(C) 1º and 180º
(D) 90º and 360º
Answer : BShow Answer :
Question 10: Two lines perpendicular to the same line are ______________ to each other :
(A) Perpendicular
(B) parallel
(C) opposite
(D) none of these
Answer : BShow Answer :
Question 12: Measure of two complementary angles are in the ratio 2 : 3. Find the measure of the bigger angle.
(A) 64º
(B) 36º
(C) 70º
(D) 54º
Answer : DShow Answer :
Question 14: Among two supplementary angles the bigger angle is 40º more than the smaller angle. Find the measure of the smaller angle.
(A) 60º
(B) 70º
(C) 80º
(D) 25º
Answer : BShow Answer :
Question 15: A line that intersects two or more lines at distinct points is called
(A) parallel
(B) transversal
(C) intersecting
(D) None of these
Answer : (b) transversalShow Answer :
Question 16: Complementary pair of angles :
(A) 70+ 20
(B) 30 + 45
(C) 0 + 95
(D) None of these
Answer : (a) 70+ 20Show Answer :
Sum of two angles is 90°.
Question 17: Find the angle, which is equal to its supplement.
(A) 60°
(B) 90°
(C) 120°
(D) 30°
Answer : (b) 90°Show Answer :
Question 18: Identify supplementary pair of angles :
(A) 0° – 90°
(B) 30°, 150°
(C) 45° – 145°
(D) None of these
Answer : (b) 30°, 150°Show Answer :
If sum of two angles is 180°, i.e., pair of supplementary.
Question 19: If two lines intersect at a point, then the vertically opposite angles are always ________ .
(A) supplementary
(B) equal
(C) unequal
(D) none of these
Answer : (b) equalShow Answer :
Question 20: (180°, 5°) pair of angle is given :
(A) complementary
(B) supplementary
(C) None of these
Answer : (c) None of theseShow Answer :
As sum of two angles is neither 90° nor 180°.
Question 21: What is the measure of the complement of 65°?
(A) 25°
(B) 55°
(C) 65°
(D) 45°
Answer : (a) 25°Show Answer :
Question 22: Complementary to 0° angle is :
(A) 90°
(B) 95°
(C) 75°
(D) None of these
Answer : (a) 90°Show Answer :
Sum of complementary angles is 90°.
Question 23: Identify which of the following pairs of angles are complementary.
(A) 65°, 115°
(B) 130°, 50°
(C) 63°, 27°
(D) 112°, 68°
Answer : (c) 63°, 27°Show Answer :
Question 24: Complementary to 70° angle is :
(A) 20°
(B) 30°
(C) 40°
(D) None of these
Answer : (a) 20°Show Answer :
Sum of complementary angles is 90°.
Question 25: What happens to the measurement of an angle after the extension of its arms?
(A) Doubles
(B) Triples
(C) Remains the same
(D) Cannot be said
Answer : (c) Remains the sameShow Answer :
Question 26: Complementary to 95° angle is :
(A) 5°
(B) 0°
(C) 10°
(D) None of these
Answer : (d) None of theseShow Answer :
None of these, as sum of complementary angles is 90°.
Question 27: What is the supplement of 105°
(A) 65°
(B) 75°
(C) 85°
(D) 95°
Answer : (b) 75°Show Answer :
Question 28: Find the value of x in the given figure if lines
(A) x = 60°
(B) 50°
(C) 75°
(D) none of these
Answer : (a) x = 60°Show Answer :
If two lines are parallel then corresponding angles are equal.
Question 29: Two angles can be supplement if both of them are:
(A) obtuse angles
(B) right angles
(C) acute angles
(D) reflex angles
Answer : BShow Answer :
Question 30: Which pair of angles are complementary:
(A) yº,(180−y)º
(B) xº, (90 + x)º
(C) x, (90−x)º
(D) 63º , 37º
Answer : CShow Answer :
Question 31: An angle of a linear pair is half of a right angle. Find the measures of the angles.
(A) 90º, 45º
(B) 45º, 135º
(C) 90º , 90º
(D) 60º , 120º
Answer : BShow Answer :
Question 32: Identify which of the following pairs of angles are supplementary.
(A) 45°, 45°
(B) 63°, 27°
(C) 112°, 68°
(D) 80°, 10°
Answer : (c) 112°, 68°Show Answer :
Question 33: Measure of the supplement of 0° :
(A) 180°
(B) 90°
(C) 175°
(D) None of these
Answer : (a) 180°Show Answer :
Sum of supplementary angles is 180°.
Question 34: What do we call an angle whose measurement is exactly equal to 0°?
(A) An obtuse angle
(B) A straight angle
(C) A zero angle
(D) A right angle
Answer : (c) A zero angleShow Answer :
Question 35: If in the given figure
(A) x = 50°
(B) x = 60°
(C) No relation
Answer : (a) x = 50°Show Answer :
These are alternating angles.
Question 36: What are the lines which lie on the same plane and do not intersect at any point called?
(A) Perpendicular lines
(B) Intersecting lines
(C) Parallel lines
(D) Collinear lines
Answer : (c) Parallel linesShow Answer :
Question 37: In the given figure value of x is :
(A) 55°
(B) 45°
(C) 65°
(D) None of these
Answer : (a) 55°Show Answer :
Vertically opposite angles are equal.
Question 38: Find the angle, which is equal to its complement.
(A) 45°
(B) 25°
(C) 35°
(D) 30°
Answer : (a) 45°Show Answer :
Question 39: Indicate vertically opposite angles :
(A) (a, d)
(B) (a, b) and (c, d)
(C) (a, c) and
(D) None of these
Answer : (b) (a, b) and (c, d)Show Answer :
Lines AB and CD are intersecting each other.
Question 40: How many rays can be drawn from a given point?
(A) 2
(B) 5
(C) 8
(D) Infinitely many
Answer : (d) Infinitely manyShow Answer :
Question 41: What do we call an angle which exactly measures 90°?
(A) An obtuse angle
(B) An acute angle
(C) A right angle
(D) A reflex angle
Answer : (c) A right angleShow Answer :
Question 42: If two angles are supplementary then the sum of their measures is __________.
(A) 45°
(B) 180°
(C) 90°
(D) 360°
Answer : (b) 180°Show Answer :
Question 43: Measure of the supplement of 100° :
(A) 70°
(B) 75°
(C) 80°
(D) None of these
Answer : (c) 80°Show Answer :
Sum of supplementary angles is 180°.
Question 44: The sum of all angles around a point is
(A) 0°
(B) 180°
(C) 360°
(D) 90°
Answer : (c) 360°Show Answer :
Question 45: Which instrument is used to measure or construct angles?
(A) Compasses
(B) Scale
(C) Protractor
(D) Set squares
Answer : (c) ProtractorShow Answer :
Question 46: Measure of the supplement of 55° :
(A) 45°
(B) 125°
(C) 100°
(D) None of these
Answer : (b) 125°Show Answer :
Sum of supplementary angles is 180°.
Question 47: What is the measure of the complement of 41°?
(A) 135°
(B) 15°
(C) 49°
(D) None of these
Answer : (c) 49°Show Answer :
Question 48: Find sum of angle x and y if in the given figure
(A) 90°
(B) 180°
(C) 175°
(D) none of these
Answer : (b) 180°Show Answer :
If two lines are parallel then sum of interior opposite angles is 180°.
Question 49: If in the given figure
(A)
(B) l ≠ m
(C) none of these
Answer : (a) Show Answer :
Two lines are parallel if alternating angles are equal.
Question 50: If two adjacent angles are supplementary, then they form _________ .
(A) a linear pair of angles
(B) vertically opposite angles
(C) Corresponding angles
(D) a ray
Answer : (a) a linear pair of anglesShow Answer :
Question 51: In the given value of x is :
(A) 35°
(C) 15°
(B) 90°
(D) None of these
Answer : (c) 15°Show Answer :
Sum of linear pair is 180°.
With the help of given figure, Answer the following questions:
Question 52: Interior angles
Answer : Show Answer :
Question 53: Exterior angles
Answer : Show Answer :
Question 54: Pairs of corresponding angles
Answer : Show Answer :
Question 55: Pairs of alternate interior angles
Answer : Show Answer :
Question 56: Pairs of alternate exterior angles
Answer : Show Answer :
Question 57: Pair of interior angles on the same side of the transversal
Answer : Show Answer :
Question 58: The sum of the measures of two complementary angles is
(A) 180°
(B) 60°
(C) 45°
(D) 90°
Answer : (d)Show Answer :
Explanation : Definition of complementary angles
Question 59: The measure of the complement of the angle 30° is
(A) 30°
(B) 16°
(C) 60°
(D) 160°
Answer : (c)Show Answer :
Explanation : 90° – 30° = 60°.
Question 61: Which of the following statements is true?
(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
Answer : (a)Show Answer :
Question 62: The measure of the complement of the angle 46° is
(A) 90°
(B) 46°
(C) 16°
(D) 136°
Answer : (b)Show Answer :
Explanation : 90°- 45° = 45°.
Question 62: When the sum of the measures of two angles is 90°, the angles are called
(A) supplementary angles
(B) complementary angles
(C) adjacent angles
(D) vertically opposite angles
Answer : (b)Show Answer :
Explanation : Definition of complementary angles
Question 63: What is the measure of the complement of the angle 80°?
(A) 10°
(B) 100°
(C) 36°
(D) 20°
Answer : (a)Show Answer :
Explanation : 90° – 80° = 10°.
Question 64: Which pair of the following angles are complementary?
(a)
(b)
(c)
(d)
Answer : (a)Show Answer :
Explanation : 60°+ 30° = 90°.
Question 65: The measure of the angle which is equal to its complement is
(A) 30°
(B)60°
(C) 46°
(D) 90°
Answer : (c)Show Answer :
Explanation : x° + x° = 90° ⇒ x° = 45°.
Question 66: Which of the following pairs of angles is not a pair of complementary angles?
(A) 60°, 30°
(B) 66°, 34°
(C) 0°, 90°
(D) 160°, 30°
Answer : (d)Show Answer :
Explanation : 150° + 30° = 180° ≠ 90°.
Question 67: What is the measure of the complement of the angle 90°?
(A) 90°
(B) 0°
(C) 180°
(D) 46°
Answer : (b)Show Answer :
Explanation : 90° – 90° = 0°.
Question 68: When the sum of the measures of two angles is 180°, the angles are called
(A) adjacent angles
(B) complementary angles
(C) vertically opposite angles
(D) supplementary angles
Answer : (d)Show Answer :
Explanation : Definition of supplementary angles.
Question 69: The sum of the measures of two supplementary angles is
(A) 90°
(B) 180°
(C) 360°
(D) none of these
Answer : (b)Show Answer :
Explanation : Definition of supplementary angles.
Question 70: The measure of the supplement of the angle 120° is
(A) 30°
(B)45°
(C) 60°
(D) 90°
Answer : (c)Show Answer :
Explanation : 180° – 120° = 60°.
Question 71: Which of the following statements is true?
(A) Two acute angles can be supplementary.
(B) Two right angles can be supplementary.
(C) Two obtuse angles can be supplementary.
(D) One obtuse angle and one acute angle cannot be supplementary
Answer : (b)Show Answer :
Question 72: What is the measure of the supplement of the angle 0°?
(A) 45°
(B) 90°
(C) 120°
(D) 180°
Answer : (d)Show Answer :
Explanation : 180° – 0° = 180°.
Question 73: Which pair of the following angles are not supplementary?
(a)
(b)
(c)

(d)

Answer : (d)Show Answer :
Explanation : 120° + 90° = 210° ≠ 180°.
Question 74: The measure of the supplement of the angle 179° is
(A) 1°
(B) 2°
(C) 3°
(D) 4°
Answer : (a)Show Answer :
Explanation : 180° – 179° – 1°.
Question 75: Which of the following statements is true?
(A) Two adjacent angles can be complementary.
(B) Two adjacent angles cannot be supplementary
(C) An acute angle cannot be adjacent to an obtuse angles.
(D) Two right angles cannot be adjacent angles
Answer : (a)Show Answer :
Question 76: The angles in a linear pair are
(A) complementary
(B) supplementary
(C) not adjacent angles
(D) vertically opposite angles
Answer : (b)Show Answer :
Explanation : Definition of a linear pair of angles.
Question 77: Which of the following statements is true?
(A) Two acute angles can form a linear pair.
(B) Two obtuse angles can form a linear pair
(C) Two right angles can form a linear pair
(D) One obtuse angle and one acute angle cannot form a linear pair
Answer : (d)Show Answer :
Question 78: Which of the following pairs of angles form a linear pair?
(a)
(b)
(c)
(d)
Answer : (a)Show Answer :
Explanation : 120° + 60° = 180°.
Question 79: The measure of the supplement of the angle 90° is
(A) 45°
(B) 60°
(C) 30°
(D) 90°
Answer : (d)Show Answer :
Explanation : 180° – 90° = 90°.
Question 80: The measure of the angle which is equal to its supplement is
(A) 30°
(B) 45°
(C) 90°
(D) 60°
Answer : (c)Show Answer :
Explanation : x° + x° = 180° ⇒ x° = 90°.
Question 81: Which of the following pairs of angles is not a pair of supplementary angles?
(A) 90°, 90°
(B) 32°, 58°
(C) 0°, 180°
(D) 76°, 104°
Answer : (b)Show Answer :
Explanation : 32° + 58° = 90° ≠ 180°.
Question 82: The sum of the measures of the angles in a linear pair is
(A) 90°
(B) 180°
(C) 360°
(D) none of these
Answer : (b)Show Answer :
Explanation : Definition of a linear pair of angles.
Question 83: Which of the following statements is false?
(A) Two vertically opposite angles can be acute
(B) Two vertically opposite angles can be obtuse
(C) Two vertically opposite angles can be right angles
(D) Two vertically opposite angles may be unequal
Answer : (d)Show Answer :
Question 84: Which of the following statements is false?
(A) When a transversal cuts two parallel lines, each pair of corresponding angles are equal.
(B) When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.
(C) When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.
(D) A transversal cuts two parallel lines in three points
Answer : (d)Show Answer :
Question 85: In the following figure, ∠ AOB and ∠ BOC are
(A) complementary angles
(B) supplementary angles
(C) adjacent angles
(D) none of these
Answer : (d)Show Answer :
Question 86: In the following figure, reflex ∠ AOB is equal to
(A) 60°
(B) 120°
(C) 300°
(D) 360°
Answer : (c)Show Answer :
Explanation : ∠ AOB = 360° – 60° = 300°.
Question 87: Which of the following statements is false?
(A) When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel.
(B) When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines have to be parallel.
(C) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are supplementary, then the lines have to be parallel.
(D) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are complementary, then the lines have to be parallel
Answer : (d)Show Answer :
Question 88: In the following figure, two straight lines AB and CD are intersecting each other at the point 0 and the angles thus formed at 0 are marked, then the value of ∠x – ∠y is
(A) 56°
(B) 118°
(C) 62°
(D) 180°
Answer : (a)Show Answer :
Explanation : ∠x – ∠y = (180° – 62°) – 62° = 118°- 62° = 56°.
Question 89: In the following figure, tell which pair of angles are not corresponding angles?
(A) ∠1, ∠ 5
(B) ∠ 2, ∠ 6
(C) ∠ 3, ∠ 7
(D) ∠ 3, ∠ 5
Answer : (d)Show Answer :
Explanation : ∠ 3, ∠ 5 are alternate interior angles.
Question 90: See the figure of Q. 32 above. Which pair of angles are alternate interior angles?
(A) ∠ 1, ∠ 5
(B) ∠ 2, ∠ 6
(C) ∠ 3, ∠ 7
(D) ∠ 3, ∠ 5
Answer : (d)Show Answer :
Explanation : Definition of alternate interior angles.
Question 91: Find the measure of the angle which is half of its supplementary angle?
(A) 60°
(B) 120°
(C) 90°
(D) 45°
Answer : (da)Show Answer :
Explanation : x° =
Question 92: In the following figure, if ∠ 1 + ∠ 3 = 120°, then ∠ 2 + ∠ 4 is equal to
(A) 60°
(B) 120°
(C) 240°
(D) 80°
Answer : (c)Show Answer :
Explanation : ∠ 2 + ∠ 4 = 360°- (∠ 1 + ∠ 3) = 360°- 120° = 240°
Question 93: In the following figure, a transversal cuts two parallel lines l and m at points G and H respectively and the angles thus formed are marked. If ∠ 1 is an acute angle, then, which of the following statements is false?
(A) ∠ 1 + ∠ 2 = 180°
(B) ∠ 2 + ∠ 5 = 180°
(C) ∠ 3 + ∠ 8 = 180°
(D) ∠ 2 + ∠ 6 = 180°
Answer : (d)Show Answer :
Explanation : ∠ 2 = ∠ 6, corresponding angles.
Question 94: In the following figure, a transversal c intersects two parallel lines a and b at A and B respectively and the angles formed at A and B are marked. Tell which of the following pairs of angles need not be equal?
(A) ∠ 1, ∠ 2
(B) ∠1, ∠ 3
(C) ∠ 1, ∠ 5
(D) ∠ 2, ∠ 8
Answer : (a)Show Answer :
Explanation : ∠ 1, ∠ 2 simply make a linear pair.
Question 95: Which of the following pairs of angles are not adjacent angles?
(a)
(b)
(c)
(d)
Answer : (d)Show Answer :
Question 96: Find the measure of the angle which is double of its complementary angle?
(A) 60°
(B) 30°
(c) 45°
(D) 120°
Answer : (a)Show Answer :
Explanation : x° = 2(90° – x°) ⇒ x° = 60°.
Question 97: In the following figure, if ∠ 1 + ∠ 2 = 100°, then the measure of ∠ 4 is equal to
(A) 50°
(B) 100°
(C) 80°
(D) 130°
Answer : (d)Show Answer :
Explanation :
∠1 = ∠2; ∠1 + ∠2 = 100°
∴ ∠ 1 = 50°
∴ ∠ 4 = 180° – 50° = 130°.
Question 98: In the following figure, ∠1 + ∠2 + ∠3 = 230°, then the measure of ∠4 is equal to
(A) 130°
(B) 80°
(C) 65°
(D) 90°
Answer : (a)Show Answer :
Explanation : ∠ 4 = 360° – 230° = 130°.
Question 99: In the following figure EF || GH. Then, the measure of ∠x is equal to
(A) 30°
(B) 45°
(C) 60°
(D) 40°
Answer : (a)Show Answer :
Explanation : (x + 30°) + 120° = 180° ⇒ x = 30°.
Question 101: In the following figure, l || m. Find the measure of ∠ x.
(A) 60°
(B) 45°
(C) 30°
(D) none of these
Answer : (a)Show Answer :
Explanation : x + x + 60° = 180° ⇒ x = 60°.
Question 102: In the following figure, AB || DG and BC || EF. Also, ∠ ABC = 60°. Then, the measure of ∠ DEF is
(a) 30°
(B) 60°
(C) 45°
(D) 120°.
Answer : (b)Show Answer :
Explanation : ∠ DEF = ∠ DGC = ∠ ABC = 60°.
Question 103: Find the value of x in the following figure, if l || m.
(A) 30°
(B) 45°
(C) 60°
(D) none of these
Answer : (c)Show Answer :
Explanation : x + 120° = 180° ⇒ x = 60°.
Fill in the blanks:
Question 1: If two adjacent angles are supplementary, they form a ………………
Answer : linear pairShow Answer :
Question 2: The sum of the measures of two angles is 90°, the angles are called ………….. angles.
Answer : complementryShow Answer :
Question 3: The sum of the measures of two angles is 180°, the angles are called ………… angles.
Answer : supplementryShow Answer :
Question 4: Line segment has ………… end points.
Answer : twoShow Answer :
Question 5: Two lines intersect and the vertically opposite angles so formed are ……………….
Answer : equalShow Answer :
Question 6: Adjacent angles have a common …………… and a common …………………
Answer : vertex, armShow Answer :
Question 7: Line segment has ………… end points.
Answer : twoShow Answer :
Question 8: Two angles forming a linear pair are …………….
Answer : supplementryShow Answer :