SOLUTION: need some help Two angles are supplementary. If one angle measures 45° less than twice the measure of its supplement, find the measure of each angle.

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Question 320858: need some help
Two angles are supplementary. If one angle measures 45° less than twice the measure of its supplement, find the measure of each angle.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"Two angles are supplementary" means that two angles, say 'x' and 'y', add up to 180 degrees. So x%2By=180. Basically, these two angles form a straight line.


In addition, since "one angle measures 45° less than twice the measure of its supplement", we know that y=2x-45. Once you have the second equation, plug it into the first to get x%2B2x-45=180. I'll let you solve for 'x'. Once you have a solution for 'x', plug it into y=2x-45 to find the solution for 'y'.