Question

Recall that two angles are complementary if the sum of their measures is 90 degrees°. find the measures of two complementary angles if one angle is 20 degrees° more than fourfour times the other angle.

Answer 1

Let x represent the smaller angle. Then the larger one is 20+4x. Since they are complementary, their sum is 90. (All measures are degrees.)

90 = x + (20+4x)
90 = 5x +20
70 = 5x
14 = x

The smaller angle is 14°.
The larger angle is 76°.