SOLUTION: Sum of an angle plus it's compement plus its supplement is 200 more than the angle.

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Question 122016: Sum of an angle plus it's compement plus its supplement is 200 more than the angle.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, the sum of an angle and it's complement is 90, an angle and its. supplement is 180.
If angle is highlight%28+A+%29, it's complement is angle +C+ , and the sum of an angle and it's supplement is angle +S+, then we have:
highlight%28+A+%29+%2B+C+%2B+S+=+highlight%28A%29+%2B+200+
Since +C+%2B+highlight%28+A+%29+=+90+ and +S+%2B+highlight%28+A+%29+=+180+, then we will have:
+C+=+90+-++highlight%28+A+%29+ and +S+=+180-+highlight%28+A+%29+,
So,




-2highlight%28A%29+=+-70..........divide both sides by -2
highlight%28+A+%29+=++35++

it's complement +C+ is:
+C+=+90+-++highlight%28+A%29+
+C+=+90+-+35++
+C+=+55++……………
and and its. supplement +S+ is:
++S+=+180-+highlight%28+A+%29+
++S++=+180+-+35++
++S+=+145+

Check:
highlight%28+A+%29+%2B+C+%2B+S+=+highlight%28+A+%29+%2B+200+

35+%2B+55+%2B+145++=+35+%2B+200+
235++=++235+