# SOLUTION: If the complement of an angle is 15° less than one-sixth of its supplement, find the measure of the angle

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 Geometry: Angles, complementary, supplementary angles Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Angles Question 156784: If the complement of an angle is 15° less than one-sixth of its supplement, find the measure of the angleAnswer by phd(3)   (Show Source): You can put this solution on YOUR website!Complementary angles make a right angle (90 degrees) Supplementary angles make a straight line (180 degrees) If the angle that we are looking for is "a" then the complement of a plus a would equal 90 degrees and 90-a would be equal to the complement. Similarly the supplement of a would be equal to 180 - a. We can write the problem as an equation . Then solve for a. Combine 90 and 15 Multiply by 6 to get rid of the fraction Add 6a to both sides Subtract 180 from both sides Divide both sides by 5 To check: The complement of 90 is 0 and the supplement of 90 is 90. Then 1/6 of the supplement is 15. 0 is 15 less than 15.