SOLUTION: The negative difference between the measures of supplementary angles is -45. Find the measure of the larger number.

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Question 1149725: The negative difference between the measures of supplementary angles is -45. Find the measure of the larger number.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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system%28y-x=-45%2Cx%2By=180%29

system%28x-y=45%2Cx%2By=180%29

cross%282x=125%29
cross%28x=62%261%2F2%29
-
cross%28y=117%261%2F2%29
2x=225
highlight%28x=112.5%29--------the larger angle measure

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

If the "negative difference" is -45 degrees, then the "positive difference" is +45 degrees.


So we can write


    x + y = 180

    x - y =  45


Add the equations to get  2x = 225,  x = 225%2F2 = 112.5 degrees.


ANSWER.  The larger angle is of 112.5 degrees.

Solved.

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Be aware !   The answer  1171%2F2  degree by  @josgarithmetic  is   W R O N G.

For your safety,  you better ignore it !