If two supplementary angles are in the ratio 1 : 2, then the bigger angle is
a. 120°
b. 125°
c. 110°
d. 90°

Solution:

Given, two supplementary angles in the ratio 1 : 2.

We need to find the bigger angle.

Let the angle be x

Since the ratio is 1 : 2

Other angle = 2x.

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

So, x + 2x = 180°

3x = 180°

x = 180°/3

x = 60°

Other angle = 2(60°)

= 120°

Therefore, the bigger angle is 120°

✦ Try This: If two supplementary angles are in the ratio 2 : 5, then the bigger angle is

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

NCERT Exemplar Class 7 Maths Chapter 5 Problem 21

If two supplementary angles are in the ratio 1 : 2, then the bigger angle is: a. 120°, b. 125°, c. 110°, d. 90°

Summary:

If two supplementary angles are in the ratio 1 : 2, then the bigger angle is 120°

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