SOLUTION: two angles are complementary. one of the angles is 8 degrees more than half the other. find the two angles

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Question 668968: two angles are complementary. one of the angles is 8 degrees more than half the other. find the two angles
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
two angles highlight%28x%29 and highlight%2890-x%29are complementary.
one of the angles is 8 degrees more than half the other.
Translate into an equation:
+x+=+%2890-x%29%2F2+%2B+8 |||Multiplying thru by 2 so as all denominators = 1
2x = (90°-x) + 16
3x = 106
x = 35 1/3° and it complement is 54 2/3 °
and...
35+%261%2F3+=+27%26+2%2F3+%2B+8