SOLUTION: Please help me with this question! thanks the measure of one angle is 7 times the measure of its complement. find the measurement of each angle.

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Question 1048290: Please help me with this question! thanks
the measure of one angle is 7 times the measure of its complement. find the measurement of each angle.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the unknown angle in degrees
given:
+a+=+7%2A%28+90+-+a+%29+
+a+=+630+-+7a+
+8a+=+630+
+a+=+78.75+
and
+90+-+a+=+90+-+78.75+
+90+-+a+=+11.25+
-----------------------
The unknown angle is 78.75 degrees and
it's complement os 11.25 degrees
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check:
+a+=+7%2A%28+90+-+a+%29+
+78.75+=+7%2A11.25+
+78.75+=+78.75+
OK