SOLUTION: Half an angle plus it’s supplement is equal to three times it’s compliment. What is the measure of the angle, the supplement and the complement.

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Question 1096247: Half an angle plus it’s supplement is equal to three times it’s compliment.
What is the measure of the angle, the supplement and the complement.
Answer by teotsal(2) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the angle, a. Half of it (a/2) plus its supplement (180-a) is equal to 3 times its complement (90-a).
a%2F2+%2B+180-a=+3%2A%2890-a%29
a%2F2+%2B+180-a=+3%2A90-3a
a%2F2%2B180-a=270-3a
Unknowns on one side, numbers on the other
a%2F2-a%2B3a=270-180
a%2F2%2B2a=90
Get rid of the denominator
a%2A2%2F2%2B2%2A2a=90%2A2
a%2B4a=180
5a=180
Solve for a
5a%2F5=180%2F5
a=36
So its supplement is equal to
180-36=144
and its complement is equal to
90-36=54