Problema Solution

Two angles are supplementary if their sum is 180 degrees. The larger angle measures four degrees more than ten times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.

Answer provided by our tutors

Let smaller angle be x degrees

Therefore, larger angle=10x+4 degrees

 

x+10x+4=180

11x+4=180

11x=176

x=16 degrees

 

Smaller angle=16 degrees

Larger angle=160+4 164 degrees