Question

The measure of the supplement of an angle is three times the measure of the complement. Find the measure of the angle.

Answer 1

`x=45°`

Explanation:

Given that supplementary of an angle is 3 times its complementary angle. Let x be the angle measured.

Therefore, the supplementary angle of x will be 180-x and the complementary angle of x will be (90-x). If the supplementary angle is 3 times the complementary angle:

`\begin{gathered} 180-x=3(90-x) \\ 180-x=270-3x \\ 3x-x=270-180 \\ 2x=90 \\ x=45° \end{gathered}`