Question

Two angles are supplementary if their sum is 180 degrees. The larger angle is 6 degrees more than five times the measure of the smaller angle. Let

x
represent the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.

Answer 1

Explanation:

x+y=180

y=5*x+6

so

x+5x+6=180

6x=180-6

6x=174

x=174/6

x=29 degrees

y=29*5+6

y=145+6=151

y=151 degrees