SOLUTION: The supplement of an angle is 36 degrees less than three times the measure of its complement of the angle. Find the measure of the supplement.

Question 904514: The supplement of an angle is 36 degrees less than three times the measure of its complement of the angle. Find the measure of the supplement.
Answer by JoelSchwartz(130) (Show Source): You can put this solution on YOUR website!
x=angle measured in degrees
180-x is the supplement of an angle x
The supplement of angle x is equal to 3 times the complement minus 36 degrees.
The complement of an angle is 90 degrees minus the angle x.
180-x=3(90-x)-36
180-x=270-3x-36
2x+180=234
2x=234-180
2x=54
x=27
180-27=153
The supplement is 153 degrees.
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