SOLUTION: The measure of the supplement of an angle is 30 more than four times the measure of the complement of the angle. Find the measure of the complement

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Question 364739: The measure of the supplement of an angle is 30 more than four times the measure of the complement of the angle. Find the measure of the complement
Answer by robertb(5830) About Me  (Show Source):
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Let x = angle. Then 180 - x = 4(90-x)+30,
180- x = 360-4x+30,
180-x = 390-4x,
4x-x = = 390 - 180,
3x = 210,
x = 70, measure of the unknown angle. Thus, the complement is 20.