SOLUTION: One of two supplementary angles is 27 degrees less than 4/5 the other. Find the larger angle

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Question 349159: One of two supplementary angles is 27 degrees less than 4/5 the other. Find the larger angle
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
HI,
*Note: the sum of supplementary angles is 180 degrees
Let x larger angle
%28%284%2F5%29%2Ax+-+27%29 would be the other
.
x+%2B+%28%284%2F5%29%2Ax+-+27%29+=+180
.
simplify and solve for x
x+%2B+%284%2F5%29%2Ax+-+27+=+180
.
Multiply each term on both sides of the equation by 5
5x + 4x - 135 = 900
9x = 1035
x = 115 degrees ( IS THE LARGER ANGLE)
.
check Your answer:
(4/5)*x - 27) = 65degrees (then the smaller one)
115degrees + 65degrees = 180degrees