SOLUTION: Two angles are supplementary and one is 40 degrees more than three times the other. find the smaller angle.

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Question 414921: Two angles are supplementary and one is 40 degrees more than three times the other. find the smaller angle.
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
supplementary angles add up to 180 degrees
let the smaller angle be x degrees
then the other is 3x + 40 degrees
their sum should be 180 degrees
so x + 3x + 40 = 180
==> 4x + 40 = 180
==> 4x = 180 - 40

==> 4x = 140 degrees
==> 4x%2F4++=+140%2F4+ degrees

==> x = 45 degrees
smaller angle is 45 degrees