NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 5: Lines And AnglesMultiple Choice Questions
Class 7 - Mathematics - Unit 5: Lines And Angles
Question. 1
The angles between North and West and South and East are
(a) complementary
(b) supplementary
(c) both are acute
(d) both are obtuse
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Question. 2
Angles between South and West and South and East are
(a) vertically opposite angles
(b) complementary angles
(c) making a linear pair
(d) adjacent but not supplementary
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Question. 3
In Fig. 5.9, PQ is a mirror, AB is the incident ray and BC is the reflected ray. If \(\angle ABC = 46^\circ\), then \(\angle ABP\) is equal to

(a) 44°
(b) 67°
(c) 13°
(d) 62°
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Question. 4
If the complement of an angle is 79°, then the angle will be of
(a) 1°
(b) 11°
(c) 79°
(d) 101°
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Question. 5
Angles which are both supplementary and vertically opposite are
(a) 95°, 85°
(b) 90°, 90°
(c) 100°, 80°
(d) 45°, 45°
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Question. 6
The angle which makes a linear pair with an angle of 61° is of
(a) 29°
(b) 61°
(c) 122°
(d) 119°
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Question. 7
The angles \(x\) and \(90^\circ - x\) are
(a) supplementary
(b) complementary
(c) vertically opposite
(d) making a linear pair
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Question. 8
The angles \(x - 10^\circ\) and \(190^\circ - x\) are
(a) interior angles on same side
(b) making a linear pair
(c) complementary
(d) supplementary
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Question. 9
In Fig. 5.10, the value of x is

(a) 110°
(b) 46°
(c) 64°
(d) 150°
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Question. 10
In Fig. 5.11, if AB ∥ CD, ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is

(a) 130°
(b) 50°
(c) 80°
(d) 30°
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Question. 11
In Fig. 5.12, lines l and m intersect. Which is false?

(a) ∠a = ∠b
(b) ∠d = ∠c
(c) ∠a + ∠d = 180°
(d) ∠a = ∠d
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Question. 12
If angle P and Q are supplementary and ∠P = 60°, then ∠Q is
(a) 120°
(b) 60°
(c) 30°
(d) 20°
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Question. 13
In Fig. 5.13, POR is a line. The value of a is

(a) 40°
(b) 45°
(c) 55°
(d) 60°
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Question. 14
In Fig. 5.14, POQ is a line. If x = 30°, then ∠QOR is

(a) 90°
(b) 30°
(c) 150°
(d) 60°
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Question. 15
The measure of an angle which is four times its supplement is
(a) 36°
(b) 144°
(c) 16°
(d) 64°
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Question. 16
In Fig. 5.15, the value of y is

(a) 30°
(b) 15°
(c) 20°
(d) 22.5°
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Question. 17
In Fig. 5.16, PA ∥ BC ∥ DT and AB ∥ DC. Then, the values of a and b are respectively

(a) 60°, 120°
(b) 50°, 130°
(c) 70°, 110°
(d) 80°, 100°
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Question. 18
The difference of two complementary angles is 30°. Then, the angles are
(a) 60°, 30°
(b) 70°, 40°
(c) 20°, 50°
(d) 105°, 75°
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Question. 19
In Fig. 5.17, PQ ∥ SR and SP ∥ RQ. Then, angles a and b are respectively

(a) 20°, 50°
(b) 50°, 20°
(c) 30°, 50°
(d) 45°, 35°
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Question. 20
In Fig. 5.18, a and b are

(a) alternate exterior angles
(b) corresponding angles
(c) alternate interior angles
(d) vertically opposite angles
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Question. 21
If two supplementary angles are in the ratio 1:2, then the bigger angle is
(a) 120°
(b) 125°
(c) 110°
(d) 90°
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Question. 22
In Fig. 5.19, ∠ROS is a right angle and ∠POR and ∠QOS are in the ratio 1:5. Then, ∠QOS measures

(a) 150°
(b) 75°
(c) 45°
(d) 60°
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Question. 23
Statements:
a: If two lines intersect, then vertically opposite angles are equal.
b: If a transversal intersects two other lines, then the sum of two interior angles on same side = 180°.
(a) Both a and b true
(b) a true and b false
(c) a false and b true
(d) Both a and b false
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Question. 24
For Fig. 5.20:
p: a and b form a linear pair.
q: a and b form adjacent angles.

(a) both p and q true
(b) p true q false
(c) p false q true
(d) both false
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Question. 25
In Fig. 5.21, ∠AOC and ∠BOC form a pair of

(a) vertically opposite
(b) complementary
(c) alternate interior
(d) supplementary
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Question. 26
In Fig. 5.22, the value of a is

(a) 20°
(b) 15°
(c) 5°
(d) 10°
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Question. 27
In Fig. 5.23, if QP ∥ SR, the value of a is

(a) 40°
(b) 30°
(c) 90°
(d) 80°
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Question. 28
In which of the following figures, a and b form adjacent angles?

(a)
(b)
(c)
(d)
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Question. 29
In a pair of adjacent angles: (i) vertex common, (ii) one arm common, (iii) uncommon arms opposite rays. Then
(a) All true
(b) (iii) false
(c) (i) false, (ii)(iii) true
(d) (ii) false
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Question. 30
In Fig. 5.25, lines PQ and ST intersect at O. If ∠POR = 90° and x:y = 3:2, then z = ?

(a) 126°
(b) 144°
(c) 136°
(d) 154°
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Question. 31
In Fig. 5.26, POQ is a line, then a is equal to

(a) 35°
(b) 100°
(c) 80°
(d) 135°
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Question. 32
Vertically opposite angles are always
(a) supplementary
(b) complementary
(c) adjacent
(d) equal
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Question. 33
In Fig. 5.27, a = 40°. The value of b is

(a) 20°
(b) 24°
(c) 36°
(d) 120°
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Question. 34
If an angle is 60° less than two times of its supplement, then the greater angle is
(a) 100°
(b) 80°
(c) 60°
(d) 120°
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Question. 35
In Fig. 5.28, PQ ∥ RS. If ∠1 = (2a + b)° and ∠6 = (3a − b)°, then the measure of ∠2 in terms of b is

(a) (2 + b)°
(b) (3 − b)°
(c) (108 − b)°
(d) (180 − b)°
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Question. 36
In Fig. 5.29, PQ ∥ RS and a : b = 3 : 2. Then f is equal to

(a) 36°
(b) 108°
(c) 72°
(d) 144°
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Question. 37
In Fig. 5.30, line l intersects two parallel lines PQ and RS. Then, which one is not true?

(a) ∠1 = ∠3
(b) ∠2 = ∠4
(c) ∠6 = ∠7
(d) ∠4 = ∠8
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Question. 38
In Fig. 5.30, which one is not true?

(a) ∠1+∠5=180°
(b) ∠2+∠5=180°
(c) ∠3+∠8=180°
(d) ∠2+∠3=180°
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Question. 39
In Fig. 5.30, which is true?

(a) ∠1=∠5
(b) ∠4=∠8
(c) ∠5=∠8
(d) ∠3=∠7
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Question. 40
In Fig. 5.31, PQ ∥ ST. Then, the value of x+y is

(a) 125°
(b) 135°
(c) 145°
(d) 120°
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Question. 41
In Fig. 5.32, if PQ ∥ RS and QR ∥ TS, then the value a is

(a) 95°
(b) 90°
(c) 85°
(d) 75°