SOLUTION: The angles (2x-3) degrees and (3x-2) degrees are supplementary. What's the measurements of the angles?

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Question 1108858: The angles (2x-3) degrees and (3x-2) degrees are supplementary. What's the measurements of the angles?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Supplementary angles add up to 180°.
if the angles %282x-3%29 degrees and %283x-2%29 degrees, we have
%282x-3%29%2B%283x-2%29=180
2x-3%2B3x-2=180
5x-5=180
5x=180%2B5
5x=185
x=185%2F5
x=37
so, the measure of each angle is:
2x-3°
2%2A37-3°
74-3°
highlight%2871%29°
and
3x-2°
3%2A37-2°
111-2°
highlight%28109%29°

check their sum:
highlight%2871%29%2Bhighlight%28109%29=180°
highlight%28180%29=180°