SOLUTION: the difference in the measures of two supplementary angles is 38. find the measures of angles

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Question 344849: the difference in the measures of two supplementary angles is 38. find the measures of angles
Answer by checkley77(12844) About Me  (Show Source):
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X-Y=38 OR X=38+Y
X+Y=180
(38+Y)+Y=180
38+2Y=180
2Y=180-38
2Y=142
Y=142/2
Y=71 DEGREES FOR THE SMALLER ANGLE.
X=38+71=109 DEGREES FOR THE LARGER ANGLE.
PROOF:
71+109=180
180=180