SOLUTION: The supplement of an angle measures three times its complement. What is the original angle?

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Question 270294: The supplement of an angle measures three times its complement. What is the original angle?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = the angle in degrees
180+-+a = it's supplement
90+-+a = it's complement
given:
180+-+a+=+3%2A%2890+-+a%29
---------------------------
180+-+a+=+270+-+3a
add 3a to both sides
180+%2B+2a+=+270
subtract 180 from both sides
2a+=+90
a+=+45
The angle is 45 degrees
check:
180+-+a+=+3%2A%2890+-+a%29
180+-+45+=+3%2A%2890+-+45%29
135+=+3%2A45
135+=+135
OK