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Out of a pair of complementary angles, one is two-third of the other. Find the angles.

Solution:

Given, Out of a pair of complementary angles, one is two-third of the other.

We have to find the angles.

Let one angle be x

Other angle = (2/3)x

When the sum of the measures of two angles is 90°, the angles are called complementary angles.

So, x + 2/3 x = 90°

[(3 + 2)/3]x = 90°

(5/3)x = 90°

5x = 90°(3)

x = 270°/5

x = 54°

Other angle = (2/3)(54°)

= 2(18°)

= 36°

Therefore, the angles are 54° and 36°.

✦ Try This: Out of a pair of supplementary angles, one is three-fifth of the other. Find the angles

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

NCERT Exemplar Class 7 Maths Chapter 5 Sample Problem 16

Out of a pair of complementary angles, one is two-third of the other. Find the angles

Summary:

Out of a pair of complementary angles, one is two-third of the other. The angles are 54° and 36°.

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