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)   (Show Source): You can put this solution on YOUR website!
?







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--------the larger angle measure
Answer by ikleyn(52781)   (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 =  = 112.5 degrees.


ANSWER.  The larger angle is of 112.5 degrees.

Solved.

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