Question

The smaller of two supplementary angles is exactly one-third the larger one. What are the two angles

Answer 1

45°,135°

Explanation:

let the angles be x,y and x<y

x+y=180

x=1/3 y

or y=3x

x+3x=180

4x=180

x=45

y=3x=3*45=135

Answer 2

45°, 135°

Explanation:

If their ratio is 1 : 3, the smaller is 1/(1+3) = 1/4 of the total, so is

(1/4)·180° = 45°

The larger is 3·45° = 135°.

The two angles are 45° and 135°.