Two angles are supplementary. The measure of one angle is twice the measure of the other plus 6. What is the measure of the smaller of the two angles?

Question

Two angles are supplementary. The measure of one angle is twice the measure of the other plus 6. What is the measure of the smaller of the two angles?

Answer 1

A = 2(180-A) +6 - 360 -2A +6 = 366 -2A

3A = 366

A = 122= larger angle

180-A = 58 degrees = the smaller of the 2 angles