word problem including triangles #13

Question

Two angles are supplementary if their sum is​ 180°. The larger angle measures six degrees more than twice

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 1

x + (2x+6) = 180

3x + 6 = 180

3x = 174

x = 58

58 and 122