SOLUTION: The measure of the supplement of an angle is 50 less than 4 times the measure of the complement of the angle. Find the measure of the angle.

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Question 475733: The measure of the supplement of an angle is 50 less than 4 times the measure of the complement of the angle. Find the measure of the angle.
Answer by cleomenius(959) About Me  (Show Source):
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(180 -x) + 50 = 4(90 - x)
180 - x + 50 = 360 - 4x
230 - x = 360 - 4x
3x = 130
x = 43.3 degrees.
46.7 degrees = complement.
136.7 degrees = supplement.
46.7(4) = 186.8 - 50 = 136.8 (approx 136.7 degrees).
Cleomenius.