SOLUTION: When one-half the supplement of an angle is added to the complement of the angle, the sum is 120 Find the measure of the complement

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Question 498618: When one-half the supplement of an angle is added to the complement of the angle, the sum is 120 Find the measure of the complement
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
1/2(180 - x) + (90 - x) = 120
90 - 1/2x + 90 - x = 120
60 = 1 1/2x
40 = x
The supplement is 140 degrees,
The complement is 50 degrees.
1/2(140) + 50 - 120.
This does check.
Cleomenius.