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Question 488970: the measure of an angle's supplement is 76 less than the measure of the angle. Find the measure of the angle and its supplement.
also, the measure of the supplement of an angle is 40 more than two times the measure of the complement of the angle. Find the measure of the angle.
Answer by cleomenius(959)   (Show Source):
You can put this solution on YOUR website! x + x + 76 = 180
2x = 104
x = 52 the supplement.
180 = 52 degrees = 128 degrees, the angle.
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2(90 - x) = 180 - x - 40
180 - 2x = 140 - x
40 degrees = x, the angle.
50 degrees, the complement.
140 degrees, the supplement.
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2(50) + 40 = 140 degrees, this does check.
Cleomenius.
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