SOLUTION: The sum of an angle plus its complement plus its supplement is 200 more than the angle. Find the measure of the supplement of the angle.
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Question 455306: The sum of an angle plus its complement plus its supplement is 200 more than the angle. Find the measure of the supplement of the angle. Answer by algebrahouse.com(1659) (Show Source):
You can put this solution on YOUR website! "The sum of an angle plus its complement plus its supplement is 200 more than the angle. Find the measure of the supplement of the angle."
x = the angle
90 - x = its complement
180 - x = its supplement
x + 90 - x + 180 - x = x + 200 {sum of angle plus complement plus supplement is 200 more than angle}
-x + 270 = x + 200 {combined like terms}
-2x = -70 {subtracted 270 and subtracted x from both sides}
x = 35 {divided both sides by -2}
180 - x = 145 {substituted 35, in for x, into 180 - x}
