SOLUTION: Find an angle whose supplement is 54 degrees greater in measure than three times its complement.

Question 361009: Find an angle whose supplement is 54 degrees greater in measure than three times its complement.
Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Find an angle whose supplement is 54 degrees greater in measure than three times its complement.
..
let angle be x
suplement = 180-x
complement = 90-x
180-x=3(90-x)+54
180-x=270-3x+54
2x=270+54-180
2x=144 deg
x= 72
..
m.ananth@hotmail.ca

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Find an angle whose supplement is 54 degrees greater in measure than three times its complement.

Let angle = A

Then its supplement = 180 - A, and its complement = 90 - A

Now, since its supplement is 54 degrees greater than three times its complement, then:
180 - A = 3(90 - A) + 54

180 - A = 270 - 3A + 54

- A + 3A = 270 + 54 - 180

2A = 144

A = =
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