Question

The ratio of two complementary angles is 2/7. Find the measure of the supplementary angle of the smaller angle?​

Answer 1

Total portions = 9
Therefore one portion = 90/9 = 10
2/7= two portions/seven portions
= 20/70
Therefore measure of smaller angle = 20 degree

Answer 2

Step-by-step explanation:

Ratio of the two complementary angles is 2 : 7

let the angles be 2x and 7x

We know that complementary angles are sum of 90°

According to the question,

⟹ 2x + 7x = 90°

⟹ 9x = 90°

⟹ x = 90/9

⟹ x = 10°

First angle 2x = 2 × 10 = 20° ans.

Second angle = 7x = 7 × 10 = 70° ans