Question

Among two supplementary angles, the measure of the larger angle is 36° more than the measure of the smaller. Find their measures.

Answer 1

Let the two supplementary angles be x° and (180 − x)°.
Since it is given that the measure of the larger angle is 36° more than the smaller angle, let the larger angle be x°.
∴ (180 − x)° + 36° = x°
or 216 = 2x
or 108 = x
Larger angle = 108°
Smaller angle = (108 − 36)°
= 72°