Question

Two complementary angles are expressed as 4x - 16 and 2x 10. find the number of degrees in each angle.

Answer 1

angle 1 = 4x - 16
angle 2 = 2x + 10

4x - 16 + 2x + 10 = 90
combine like terms

6x - 6 = 90
add 6 to both sides

6x = 96
divide both sides by 6

x = 16

angle 1 = 4x - 16 = 4(16) - 16 = 48

angle 2 = 2x + 10 = 2(16) + 10 = 42