Question

If two supplementaryangles are in the ratio 2:3, find the angles.

Answer 1

The angles are 72 degrees and 108 degrees.

Explanation:

Angle 1 : Angle 2 = 2 : 3
Angle 1 = 2k
Angle 2 = 3k

Angle 1 + Angle 2 = 180 (supplementary angles)
2k + 3k = 180
5k = 180
k = 36

Angle 1 = 2k = 2 x 36 = 72 degrees
Angle 2 = 3k = 3 x 36 = 108 degrees