SOLUTION: an angle is 15 degrees more than its supplement . find the angle .

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Question 257221: an angle is 15 degrees more than its supplement . find the angle .
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = one angle, y = second angle. Supplementary angles add to 180, so
(i) X+%2B+Y+=+180
From the given, we can say X = Y + 15. So we have
(ii) Y+%2B+15+%2B+Y+=+180
solving for y, we get
(iii) 2Y+%2B+15+=+180
(iv) 2Y+=+165
(vi) Y+=+82.5
This means that X = 97.5 and Y = 82.5.
Together they add to 180.