Question

The measure of an angle is three times the measure of its supplementary angle. What is the measure of each angle?

Answer 1

45° and 135°

Explanation:

let x be the angle then its supplement is 190 - x

Given x is 3 times its supplement , then

x = 3(180 - x) ← distribute parenthesis by 3

x = 540 - 3x ( add 3x to both sides )

4x = 540 ( divide both sides by 4 )

x = 135

and 180 - x = 180 - 135 = 45

The 2 angles are 45° and 135°