SOLUTION: Two supplimentry angle are in 2:7 find mesure of angle?

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Question 1047212: Two supplimentry angle are in 2:7 find mesure of angle?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = one of the angles
+180+-+x+ = the other angle
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+2%2F7+=+x+%2F+%28+180+-+x+%29+
Multiply both sides by +7%2A%28+180+-+x+%29+
+2%2A%28+180+-+x+%29+=+7x+
+360+-+2x+=+7x+
+9x+=+360+
+x+=+40+
and
+180+-+x+=+180+-+40+
+180+-+x+=+140+
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The angles are 40 degrees and 140 degrees
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check:
+2%2F7+=+x+%2F+%28+180+-+x+%29+
+2%2F7+=+40+%2F+140+
+2%2F7+=+4%2F14+
+2%2F7+=+2%2F7+
OK