SOLUTION: A supplement of a given angle is four times as large as a compliment of the angle.find the measure of the given angle

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Question 509005: A supplement of a given angle is four times as large as a compliment of the angle.find the measure of the given angle
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A supplement of a given angle is four times as large as a compliment of the angle.
find the measure of the given angle
:
Let a = the given angle
then we know
(180-a) = it's supplement
and
(90-a) = it's complement
:
Write an equation for the statement:
"A supplement of a given angle is four times as large as a compliment of the angle."
(180-a) = 4(90-a)
180 - a = 360 - 4a
-a + 4a = 360 - 180
3a = 180
a = 180%2F3
a = 60 degrees is the angle
:
You can check this in the original equation