Question

Two angles are supplementary. Three times the measure of one angle is 20° more than the measure

of the other. Find the measure of each angle.

Answer 1

50°, 130°

Explanation:

All measures are in degrees. Let x represent "one angle". Then the other is (180-x) and we can write the relation ...

3x = 20 +(180 -x)

4x = 200 . . . . . . . add x, collect terms

x = 50 . . . . . . . . . . one angle

180 -50 = 130 . . . .the other angle

The measures of each angle are 50° and 130°.