Ncert exemplar solutions mathematics class 7 Solutions for Chapter 5 lines and angles

The angles between North and West and South and East are

(a) complementary (b) supplementary

(c) both are acute (d) both are obtuse

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

In Fig. 5.9, PQ is a mirror, AB is the incident ray and BC is the reflected ray. If ∠ ABC = 46o, then ∠ ABP is equal to

Angles which are both supplementary and vertically opposite are

(a) 95°, 85° (b) 90°, 90° (c) 100°, 80° (d) 45°, 45°

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

(a) 29° (b) 61° (c) 122° (d) 119°

The angles x and 90° – x is

(a) supplementary (b) complementary

(c) vertically opposite (d) making a linear Pair

The angles x – 10° and 190° – x is

(a) interior angles on the same side of the transversal

(b) making a linear pair

(c) complementary

(d) supplementary

In Fig. 5.10, the value of x is

(a) 110° (b) 46° (c) 64° (d) 150°

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

(a) 130° (b) 50° (c) 80° (d) 30°

In Fig. 5.12, lines l and m intersect each other at a point. Which of the following is false?

(a) ∠a = ∠b (b) ∠d = ∠c

(c) ∠a + ∠d = 180° (d) ∠a = ∠d

If angle P and angle Q are supplementary and the measure of angle P is 60°, then the measure of angle Q is

(a) 120° (b) 60° (c) 30° (d) 20°

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

(a) 40° (b) 45° (c) 55° (d) 60°

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

(a) 90° (b) 30° (c) 150° (d) 60°

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

(a) 36° (b) 144° (c) 16° (d) 64°

In Fig. 5.15, the value of y is

(a) 30° (b) 15° (c) 20° (d) 22.5°

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°

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

(a) 60°, 30° (b) 70°, 40° (c) 20°,50° (d) 105°,75°

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°

In Fig. 5.18, a and b are

(a) alternate exterior angles

(b) corresponding angles

(c) alternate interior angles

(d) vertically opposite angles

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

(a) 120° (b) 125° (c) 110° (d) 90°

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°

Statements a and b are as given below:

a: If two lines intersect, then the vertically opposite angles are equal.

b: If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180°.

Then

(a) Both a and b are true (b) a is true and b is false

(c) a is false and b is true (d) both a and b are false

For Fig. 5.20, statements p and q are given below:

p : a and b are forming a linear pair.

q : a and b are forming a pair of adjacent angles

Then,

(a) both p and q are true

(b) p is true and q is false

(c) p is false and q is true

(d) both p and q are false

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

(a) vertically opposite angles

(b) complementary angles

(c) alternate interior angles

(d) supplementary angles

In Fig. 5.22, the value of a is

(a) 20° (b) 15° (c) 5° (d) 10°

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

(a) 40° (b) 30° (c) 90° (d) 80°

In which of the following figures, a and b are forming a pair of adjacent angles?

In a pair of adjacent angles, (i) vertex is always common, (ii) one arm is always common, and (iii) uncommon arms are always opposite rays

Then

(a) All (i), (ii), and (iii) are true

(b) (iii) is false

(c) (i) is false but (ii) and (iii) are true

(d) (ii) is false

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

(a) 126° (b) 144° (c) 136° (d) 154°

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

(a) 35° (b) 100° (c) 80° (d) 135°

Vertically opposite angles are always

(a) supplementary (b) complementary

(c) adjacent (d) equal

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

(a) 20° (b) 24° (c) 36° (d) 120°

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°

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)°

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

(a) 36° (b) 108° (c) 72° (d) 144°

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

(a) ∠1 = ∠3 (b) ∠2 = ∠4

(c) ∠6 = ∠7 (d) ∠4 = ∠8

In Fig. 5.30, which one of the following is not true?

(a) ∠1 + ∠5 = 180°

(b) ∠2 + ∠5 = 180°

(c) ∠3 + ∠8 = 180°

(d) ∠2 + ∠3 = 180°

In Fig. 5.30, which of the following is true?

(a) ∠1 = ∠5 (b) ∠4 = ∠8 (c) ∠5 = ∠8 (d) ∠3 = ∠7

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

(a) 125° (b) 135° (c) 145° (d) 120°

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

(a) 95° (b) 90° (c) 85° (d) 75°

If the sum of measures of the two angles is 90°, then the angles are _________.

If the sum of measures of two angles is 180°, then they are _________.

A transversal intersects two or more than two lines at _________ points.

the sum of interior angles on the same side of a transversal is ___________.

Alternate interior angles have one common __________.

Corresponding angles are on the ____________ side of the transversal.

Alternate interior angles are on the ____________side of the transversal.

Two lines in a plane Which do not meet at a point anywhere are called _________ lines.

Two angles forming a __________ pair are supplementary.

The supplement of an acute is always __________ angle.

The supplement of the right angle is always _________ angle.

The supplement of an obtuse angle is always _________ angle.

In a pair of complementary angles, each angle cannot be more than _________.

An angle is 45° . Its complementary angle will be __________ .

An angle which is half of its supplement is of __________.