NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 5: Lines And Angles
Multiple Choice Questions

In questions 1 to 41, there are four options out of which one is correct. Write the correct one.

Quick Links to Questions

Question.  1

The angles between North and West and South and East are

(a)

(a) complementary

(b)

(b) supplementary

(c)

(c) both are acute

(d)

(d) both are obtuse

Question.  2

Angles between South and West and South and East are

(a)

(a) vertically opposite angles

(b)

(b) complementary angles

(c)

(c) making a linear pair

(d)

(d) adjacent but not supplementary

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)

(a) 44°

(b)

(b) 67°

(c)

(c) 13°

(d)

(d) 62°

Question.  4

If the complement of an angle is 79°, then the angle will be of

(a)

(a) 1°

(b)

(b) 11°

(c)

(c) 79°

(d)

(d) 101°

Question.  5

Angles which are both supplementary and vertically opposite are

(a)

(a) 95°, 85°

(b)

(b) 90°, 90°

(c)

(c) 100°, 80°

(d)

(d) 45°, 45°

Question.  6

The angle which makes a linear pair with an angle of 61° is of

(a)

(a) 29°

(b)

(b) 61°

(c)

(c) 122°

(d)

(d) 119°

Question.  7

The angles \(x\) and \(90^\circ - x\) are

(a)

(a) supplementary

(b)

(b) complementary

(c)

(c) vertically opposite

(d)

(d) making a linear pair

Question.  8

The angles \(x - 10^\circ\) and \(190^\circ - x\) are

(a)

(a) interior angles on same side

(b)

(b) making a linear pair

(c)

(c) complementary

(d)

(d) supplementary

Question.  9

In Fig. 5.10, the value of x is

(a)

(a) 110°

(b)

(b) 46°

(c)

(c) 64°

(d)

(d) 150°

Question.  10

In Fig. 5.11, if AB ∥ CD, ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is

(a)

(a) 130°

(b)

(b) 50°

(c)

(c) 80°

(d)

(d) 30°

Question.  11

In Fig. 5.12, lines l and m intersect. Which is false?

(a)

(a) ∠a = ∠b

(b)

(b) ∠d = ∠c

(c)

(c) ∠a + ∠d = 180°

(d)

(d) ∠a = ∠d

Question.  12

If angle P and Q are supplementary and ∠P = 60°, then ∠Q is

(a)

(a) 120°

(b)

(b) 60°

(c)

(c) 30°

(d)

(d) 20°

Question.  13

In Fig. 5.13, POR is a line. The value of a is

(a)

(a) 40°

(b)

(b) 45°

(c)

(c) 55°

(d)

(d) 60°

Question.  14

In Fig. 5.14, POQ is a line. If x = 30°, then ∠QOR is

(a)

(a) 90°

(b)

(b) 30°

(c)

(c) 150°

(d)

(d) 60°

Question.  15

The measure of an angle which is four times its supplement is

(a)

(a) 36°

(b)

(b) 144°

(c)

(c) 16°

(d)

(d) 64°

Question.  16

In Fig. 5.15, the value of y is

(a)

(a) 30°

(b)

(b) 15°

(c)

(c) 20°

(d)

(d) 22.5°

Question.  17

In Fig. 5.16, PA ∥ BC ∥ DT and AB ∥ DC. Then, the values of a and b are respectively

(a)

(a) 60°, 120°

(b)

(b) 50°, 130°

(c)

(c) 70°, 110°

(d)

(d) 80°, 100°

Question.  18

The difference of two complementary angles is 30°. Then, the angles are

(a)

(a) 60°, 30°

(b)

(b) 70°, 40°

(c)

(c) 20°, 50°

(d)

(d) 105°, 75°

Question.  19

In Fig. 5.17, PQ ∥ SR and SP ∥ RQ. Then, angles a and b are respectively

(a)

(a) 20°, 50°

(b)

(b) 50°, 20°

(c)

(c) 30°, 50°

(d)

(d) 45°, 35°

Question.  20

In Fig. 5.18, a and b are

(a)

(a) alternate exterior angles

(b)

(b) corresponding angles

(c)

(c) alternate interior angles

(d)

(d) vertically opposite angles

Question.  21

If two supplementary angles are in the ratio 1:2, then the bigger angle is

(a)

(a) 120°

(b)

(b) 125°

(c)

(c) 110°

(d)

(d) 90°

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)

(a) 150°

(b)

(b) 75°

(c)

(c) 45°

(d)

(d) 60°

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)

(a) Both a and b true

(b)

(b) a true and b false

(c)

(c) a false and b true

(d)

(d) Both a and b false

Question.  24

For Fig. 5.20:

p: a and b form a linear pair.

q: a and b form adjacent angles.

(a)

(a) both p and q true

(b)

(b) p true q false

(c)

(c) p false q true

(d)

(d) both false

Question.  25

In Fig. 5.21, ∠AOC and ∠BOC form a pair of

(a)

(a) vertically opposite

(b)

(b) complementary

(c)

(c) alternate interior

(d)

(d) supplementary

Question.  26

In Fig. 5.22, the value of a is

(a)

(a) 20°

(b)

(b) 15°

(c)

(c) 5°

(d)

(d) 10°

Question.  27

In Fig. 5.23, if QP ∥ SR, the value of a is

(a)

(a) 40°

(b)

(b) 30°

(c)

(c) 90°

(d)

(d) 80°

Question.  28

In which of the following figures, a and b form adjacent angles?

(a)

(a)

(b)

(b)

(c)

(c)

(d)

(d)

Question.  29

In a pair of adjacent angles: (i) vertex common, (ii) one arm common, (iii) uncommon arms opposite rays. Then

(a)

(a) All true

(b)

(b) (iii) false

(c)

(c) (i) false, (ii)(iii) true

(d)

(d) (ii) false

Question.  30

In Fig. 5.25, lines PQ and ST intersect at O. If ∠POR = 90° and x:y = 3:2, then z = ?

(a)

(a) 126°

(b)

(b) 144°

(c)

(c) 136°

(d)

(d) 154°

Question.  31

In Fig. 5.26, POQ is a line, then a is equal to

(a)

(a) 35°

(b)

(b) 100°

(c)

(c) 80°

(d)

(d) 135°

Question.  32

Vertically opposite angles are always

(a)

(a) supplementary

(b)

(b) complementary

(c)

(c) adjacent

(d)

(d) equal

Question.  33

In Fig. 5.27, a = 40°. The value of b is

(a)

(a) 20°

(b)

(b) 24°

(c)

(c) 36°

(d)

(d) 120°

Question.  34

If an angle is 60° less than two times of its supplement, then the greater angle is

(a)

(a) 100°

(b)

(b) 80°

(c)

(c) 60°

(d)

(d) 120°

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)

(a) (2 + b)°

(b)

(b) (3 − b)°

(c)

(c) (108 − b)°

(d)

(d) (180 − b)°

Question.  36

In Fig. 5.29, PQ ∥ RS and a : b = 3 : 2. Then f is equal to

(a)

(a) 36°

(b)

(b) 108°

(c)

(c) 72°

(d)

(d) 144°

Question.  37

In Fig. 5.30, line l intersects two parallel lines PQ and RS. Then, which one is not true?

(a)

(a) ∠1 = ∠3

(b)

(b) ∠2 = ∠4

(c)

(c) ∠6 = ∠7

(d)

(d) ∠4 = ∠8

Question.  38

In Fig. 5.30, which one is not true?

(a)

(a) ∠1+∠5=180°

(b)

(b) ∠2+∠5=180°

(c)

(c) ∠3+∠8=180°

(d)

(d) ∠2+∠3=180°

Question.  39

In Fig. 5.30, which is true?

(a)

(a) ∠1=∠5

(b)

(b) ∠4=∠8

(c)

(c) ∠5=∠8

(d)

(d) ∠3=∠7

Question.  40

In Fig. 5.31, PQ ∥ ST. Then, the value of x+y is

(a)

(a) 125°

(b)

(b) 135°

(c)

(c) 145°

(d)

(d) 120°

Question.  41

In Fig. 5.32, if PQ ∥ RS and QR ∥ TS, then the value a is

(a)

(a) 95°

(b)

(b) 90°

(c)

(c) 85°

(d)

(d) 75°

NCERT Exemplar Solutions Class 7 – Mathematics – Unit 5: Lines And Angles – Multiple Choice Questions | Detailed Answers