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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
