SOLUTION: the ratio of two complementary angles is 3 to 7. find the measure of the larger one.

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Question 613753: the ratio of two complementary angles is 3 to 7. find the measure of the larger one.
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

the ratio of two complementary angles is 3 to 7

Let x and (90°-x) represent the smaller and larger angle

  x%2F%2890-x%29+=+3%2F7     ||Cross Multiplying to solve

    3(90°-x) = 7x

     270° = 10x

      27° = x, the smaller.  Larger of the complementary Angles is 63°

   27°/63° = 3/7