SOLUTION: Find the measure of two complimentary angles such that the larger angles is twice that of the smaller.

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Question 762067: Find the measure of two complimentary angles such that the larger angles is twice that of the smaller.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angles = +a+ and +b+
given:
(1) +a+%2B+b+=+90+ ( complementary )
(2) +b+=+2a+
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By substitution:
(1) +a+%2B+2a+=+90+
(1) +3a+=+90+
(1) +a+=+30+
and
(2) +b+=+2a+
(2) +b+=+2%2A30+
(2) +b+=+60+
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The angles are 30 degrees and 60 degrees