Question

If the complement of an angle is equal to the supplement of the thrice of it. Find the measure of the angle.

Answer 1

Let the angle measured be x

Compliment angle = (90° – x)

Supplement angle = (180° – x)

Given that,

Supplementary of thrice of the angle = (180° – 3x)

According to question,

(90° – x) = (180° – 3x)

2x = 90°

x = 45°