SOLUTION: Find the measure of an angle if the measures of a supplement and a complement of the angle are in a ratio of 5:2

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Question 406829: Find the measure of an angle if the measures of a supplement and a complement of the angle are in a ratio of 5:2
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

Let x,(90°-x),(180°-x) represent the angle, its complement and sumpplement respectively

Question states***

5%2F2+=+%28180-x%29%2F%2890-x%29

Solving for x by cross multiplying

 5(90-x)=2(180-x)

   450-5x = 360 - 2x

      90° = 3x

       x = 30°

CHECKING our Answer***

  5/2 = 150/60