Question

if two complementary angles are in the ratio1: 5 find them

Answer 1

Given,

Ratio = 1:5

Let us take,

1st angle = x

2nd angle = 5x

Complementary angle = 90°

x+5x = 90

6x = 90

x = 90/6

x = 15

The 1st angle = 15°

2nd angle = 5×15

= 75°.

Proof:

15°+75° = 90°.