Two angles are supplementary. The measure of the larger angle is 5 less than 4 times the measure of the smaller angle. Find the measures for both angles.

Question

Two angles are supplementary. The measure of the larger angle is five less than four times smaller than the measure of the smaller angle. Fine the measures of both angles.

Answer 1

a + 4a - 5 = 180

5a = 185

a = 37

4(37) - 5 = 148 - 5 = 143

or 180 - 37 = 143