Question

Two angles are supplementary if their sum is 180 degrees. One angle measures two 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. The smaller angle is __. The larger angle is __.

Answer 1

The smaller angle is 60 degrees and the larger angle is 120 degrees.
x+2x = 180, 3x=180, so x = 60 and 2x = 120.