Question

Two angles are supplementary angles if the sum of their measures is​ 180°. find two supplementary angles such that the measure of the first angle is 6​° less than three times the measure of the second.

Answer 1

Let the second angle be x.

Second angle = x
First angle = 3x - 6

The sum of the two angles is 180°
x + 3x - 6 = 180
4x - 6 = 180
4x = 186
x = 186 ÷ 4 = 46.5°

Second angle = 46.5°
First angle = 3(46.5) - 6 = 133.5°

Answer: The angles are 46.5° and 133.5°