Two angles are supplementary. The measure of the larger angle is twice the measure of the smaller angle. Find the measure of the angles.

Supplementary angles add up to 180°

x = one angle

180 - x = other angle {the two angles add up to 180°}

180 - x = 2x {the measure of the larger is twice the measure of the smaller}

180 = 3x {added x to both sides}

x = 60 {divided both sides by 3}

180 - x = 120 {substituted 60, in for x, into 180 - x}

**the two angles are 60° and 120°**

*© Algebra House*