SOLUTION: the supplement of an angle is 36 degrees less than twice the supplement of the compliment of the angle. Find the measure of the supplement.

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Question 205424This question is from textbook Geometry
: the supplement of an angle is 36 degrees less than twice the supplement of the compliment of the angle. Find the measure of the supplement. This question is from textbook Geometry

Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
let the angle = x
supplement of the angle = 180 - x
complement of the angle = 90 - x

180 - x = 2*(180 - (90 - x)) - 36
180 - x = 2*(180 - 90 + x) - 36
180 - x = 2*(90 + x) - 36
180 - x = 180 + 2x - 36
180 - 180 + 36 = 2x + x
36 = 3x
x = 36/3 = 12

supplement of x = 180 - 12 = 168 degrees