Two angles are complementary if the sum of their measures is 90°. .

Question

Two angles are complementary if the sum of their measures is 90°. Find two complementary angles such that one of the angles is 140° less than 4 times the other angle.

Answer 1

Let x be one of the complementary angles, then the other angle would be 4x - 140. Since the angles are complementary then:

x + 4x - 140 = 90         There's the start, now solve for x!