Find the measure of the complement to an 18 degree angle. explain your answer

The expression representing the complement of an angle (x):

(90 - x)

:

The expression representing the supplement of an angle (x)

(180 - x)

:

"the complement of an angle is 18 degrees more than 1/3 its supplement."

(90 - x) = (180-x) + 18

:

90 - x = 60 - x + 18; found one third of 180

:

90 - x = 78 - x

:

90 - 78 = - x + x

:

12 = + x

Multiply equation by 3 to get rid of the denominator

3 (12) = 3*x

36 = 2x

x =

x = 18 degrees