Question 320858
"Two angles are supplementary" means that two angles, say 'x' and 'y', add up to 180 degrees. So {{{x+y=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+2x-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'.