The measure of the supplement of an angle is 4 times the measure of its complement. Find the measure of the angle.

Question

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Answer 1

Let x be the measure of an angle in degrees. Its complement is 90 - x and its supplement is 180 - x. The measure of the supplement of an angle is 4 times the measure of its complement translates mathematically as

 

180 - x = 4(90 - x)

180 - x = 360 - 4x

3x = 180

x = 60 deg