SOLUTION: Hi, my name is Norma and I've been working on this problem for about half an hour but I cant seem to get a reasonable answer. The problem is: The supplement of an angle is 36 de

Question 94531: Hi, my name is Norma and I've been working on this problem for about half an hour but I cant seem to get a reasonable answer. The problem is:
The supplement of an angle is 36 degrees less than twice the supplement of the complement of the angle. Find the measure of the supplement.
So far I have: 180-x=2(90-x)-36
180-x=180-2x-36
180-x=144-2x
180=144-x
x= -36 degrees
I'm not sure if this is right because of the fact that my answer is a negative.So if you can help on this problem I would really appreciate it.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The supplement of an angle is 36 degrees less than twice the supplement of the complement of the angle. Find the measure of the supplement.
================
Let the angle be "x"; the supplement = "180-x"; the complement = "90-x"
-------------------
EQUATION:
180-x + 36 = 2(180-(90-x))
216 - x = 2(90+x)
216 - x = 180 + 2x
3x= 36
x = 12 degrees
The measure of the supplement = 180-12 = 168 degrees.
=================
Cheers,
Stan H.
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