# SOLUTION: The sum of an angle's complementary and supplementary is 124. 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 505000: The sum of an angle's complementary and supplementary is 124. Find the measure of the angle.Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!a + c = 90 a + s = 180 c + s = 124 . set up as a system of equations 1a + 1c + 0s = 90 1a + 0c + 1s = 180 0a + 1c + 1s = 124 . add the first 2 equations and subtract the 3rd 1a + 1c + 0s = 90 1a + 0c + 1s = 180 ------------------- 2a + 1c + 1s = 270 0a + 1c + 1s = 124 ----------------- 2a +0c + 0s = 146 . a = 73 . Check this answer. c = 90-73 = 17 s = 180-73 = 107 c+s = 124 Correct. . Answer: Angle is 73. . Done.