Question 156708: Find the measure of an angle such that the sum of the measures of its complement and its supplement is 100 degrees. Found 2 solutions by nerdybill, josmiceli:Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! If the sum of two angles adds up to 180°, then the angles are said to be supplementary.
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If the sum of two angles adds up to 90°, then the angles are said to be complementary.
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Let x = angle
supplement angle = 180-x
complement angle = 90-x
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From:"sum of the measures of its complement and its supplement is 100 degrees" we get:
(180-x)+(90-x) = 100
180 -x + 90 -x = 100
270 -2x = 100
270 = 100 + 2x
170 = 2x
85 deg = x
