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°

Solution:

Given,angle P and angle Q are supplementary

The measure of angle P is 60°.

We need to find the measure of the angle Q.

When the sum of the measures of two angles is 180°, the angles are called supplementary angles.

Since the angles P and Q are supplementary,

Sum of the angles = 180°

So, ∠P + ∠Q = 180°

60° + ∠Q = 180°

∠Q = 180° - 60°

∠Q = 120°

Therefore, the angle Q is 120°

✦ Try This: If angle A and angle B are complementary and the measure of angle A is 30°, then the measure of angle B is

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Problem 12

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°

Summary:

If angle P and angle Q are supplementary and the measure of angle P is 60°, then the measure of angle Q is 120°

☛ Related Questions:

• 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 is four times its supplement is: a. 36°, b. 144°, c. 16°, d. 64°