Question

If the supplement of an angle is one-third of itself, then the measure of the angle and its supplement are what

Answer 1

Supplementary angles add up to 180º

Define x:

Let one angle be x

Then the supplementary angle is 1/3 x

Solve x:

x + 1/3 x = 180

4/3 x = 180

x = 180 ÷ 4/3

x = 135º

Find the angles:

one angle = x = 135º

The other angle = 1/3 x = 1/3 (135) = 45º

Answer: The two angles are 45 º and 135º