SOLUTION: the complement of an angle is 18 degrees more than 1/3 its supplement. find the measure of the angle.

Question 127317: the complement of an angle is 18 degrees more than 1/3 its supplement. find the measure of the angle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The complement of an angle is 18 degrees more than 1/3 its supplement. find the measure of the angle.
:
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
:
:
Check solution using the statement:
"the complement of an angle is 18 degrees more than 1/3 its supplement."
(90 - 18) = (180-18) + 18
72 = *162 + 18
72 = 54 + 18

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