SOLUTION: The measure of the supplement of an angle is 5 times that of its complement. Find the measure of the complement

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Question 664915: The measure of the supplement of an angle is 5 times that of its complement. Find the measure of the complement
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

angle highlight%28x%29

Its complement highlight%2890-x%29

Its supplement highlight%28180-x%29

Question states*** measure of the supplement of an angle is 5 times that of its complement

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

 180-x = 450 - 5x

     4x = 270

      x = 67.5°   and  Its complement: 90-67.5 = 22.5° 

and...

180-67.5+=+112.5+=+5%2A22.5



complementary Angles highlight%28x%29andhighlight%2890-x%29

one of two complementary angles is two more than one third of the other. 

Find the two angles

(90-x) = x/3 +2   ||Solve for angle x and determine its complement (90-x)