Question

Two angles are supplementary one angle is 2/3 the measure of the other one find both angles

Answer 1

The measures are 108 deg and 72 deg.

Explanation:

The larger angle has measure x.

The smaller angle has measure (2/3)x.

They are supplementary, so the sum of their measures is 180 degrees.

x + (2/3)x = 180

(3/3)x + (2/3)x = 180

(5/3)x = 180

(3/5) * (5/3)x = (3/5) * 180

x = 108

(2/3)x = 2/3 * 108 = 72

Answer: The measures are 108 deg and 72 deg.