an angle that is 54 degrees less than 4 times its complement
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Suppose the supplement of the angle is x degrees. Then the angle is 180 - x degrees. Therefore the complement of the angle is 90 - (180 - x) degrees = x - 90 degrees. So 5*(x - 90) - 2*x = 40 Solve the above equation for x.
118 degrees is your answer... I am the type of person that just answers it without an explanation.
Suppose the angle is x degrees. Then (180 - x) = 4*(90 - x) 180 - x = 360 - 4x 3x = 180 so x = 60 degrees.
15 degrees
180 - x = 3(90 -x) 180 - x = 270 - 3x 3x - x = 270 - 180 2x = 90 x = 45 The angle is 45 degrees (complement is 45, supplement is 135).