# SOLUTION: The sum of the measures of a complement and supplement of an angle is 200. What is the measure of the angle?

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 Question 631625: The sum of the measures of a complement and supplement of an angle is 200. What is the measure of the angle?Answer by rapaljer(4667)   (Show Source): You can put this solution on YOUR website!Let x=the angle 90-x=the compliment 180-x=the supplement 90-x + 180-x = 200 270 - 2x =200 -2x = -70 x=35 The angle 90-x =55 The Complement 180-x = 145 The Supplement Check: 55 + 145 = 200 It checks!! Dr. Robert J. Rapalje, Retired Seminole State College of Florida