SOLUTION: If four times the supplement of an angle is added to eight times the complement, the result is 3 straight angles. Find the measure of the angle that is supplement to the complement

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Question 661385: If four times the supplement of an angle is added to eight times the complement, the result is 3 straight angles. Find the measure of the angle that is supplement to the complement.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x = angle
y = complement
z = supplement
...
x+y = 90
x+z = 180
4z + 8y = 3(180)
...
Solve for the supplement of y
...
4(180-x) + 8y = 540
720 - 4x + 8y = 540
720 - 4(90-y) + 8y = 540
720 - 360 + 4y + 8y = 540
...
12y = 180
y = 15 degrees
...
y plus its supplement is 180
supplement = 180 - y = 180 - 15 = highlight_green%28165%29 degrees
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