SOLUTION: If the complement of an angle is 12 degrees less than one-fifth of its supplement, then the measure of this angle is _______ degrees.

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Question 843229: If the complement of an angle is 12 degrees less than one-fifth of its supplement, then the measure of this angle is _______ degrees.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 complement of an angle highlight_green%28x%29 is 12 degrees less than one-fifth of its supplement

Question states***

%2890-x%29+=+%281%2F5%29%28180-x%29-12   |Multiplying thru by 5 so as all denominators = 1

 5(90°-x) = (180°-x) - 60°

 450° - 5x = 180° - x - 60°

     330° = 4x

     82.5° = x