Two angles are complementary. The larger angle is 6 more than twice the smaller angle. Write an equation to find the measure of each angle.

Let x = the smaller angle

then 2x + 6 = the larger angle

Since they are comlementary, then their sum is 90°

smaller angle + larger angle = 90°

(x) + (2x+6) = 90

3x + 6 = 90

3x = 84

x = 28 (this is the smaller angle)

the larger angle is 2x + 6 = 2 (28) + 6 = 56 + 6 = 62

Answer: smaller angle is 28, larger angle is 62