Question

two supplementary angles are in the ratio 3:2, find the angles

Answer 1

Sum of supplementary angles = 180°

Let us the given ratio be 3x:2x.

So,

ATQ,

3x + 2x = 180°.

or 5x = 180°.

or x = 180°/5.

Therefore x = 36°.

Therefore 1st angle = 2x = 2×36°=72°.

Therefore 2nd angle = 3x = 3×36°= 108°.

Answer 2

let the angles be x

so, 3x,2x .

now ,

supplementary angles =180

3x+2x=180

5x=180

x=180/5

x=36