Question

If two supplementary angles are in the ratio 3:2 then angles are ​

Answer 1

Let the angles be 3x and 2x .

We know , that the sum of supplementary angles is always 180° .

So , we can say that

3x + 2x = 180°

5x = 180°

x = 36°

So , 3x = 36° x 3

= 108°

And , 2x = 36° x 2

= 72°

Finally , 3x + 2x = 108° + 72° = 180°. ( supplementary angles ) .

Answer 2

let the ratio be 3x + 2x

Supplementary Angle = x+y = 180°

A.T.Q. (According to Question)

3x + 2x = 180

5x = 180

x = 180/5

x= 36

3x= 3×36= 108°

2x= 2×36= 72°

=== 108°+72°=180°