Question

an angle is 6 more than five times its complement. find the measure of the angle

Answer 1

angle = 14°

complementary angles sum to 90°

let x be the angle then it's complement is 5x + 6 thus

x + 5x + 6 = 90

subtract 6 from both sides

6x = 90 - 6 = 84

divide both sides by

x = $\frac{84}{6}$ = 14

the angle = 14°