Question

Two measures of two supplementary angles are in the ratio of 2.3 find the measurments of the two angles.

Answer 1

The angles are 72° and 108°

Explanation:

Supplementary angles add up to 180°

Ratio of supplementary angles = 2 : 3

The angles are 2x , 3x

2x + 3x = 180

5x = 180

x = 180 ÷ 5

x = 36°

2x = 2*36 = 72°

3x = 3*36 = 108°