SOLUTION: the measure of the complement of an angle is 24 more that one fourth the measure of the supplement of the angle. find the measure of the angle. thanks

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Question 261058: the measure of the complement of an angle is 24 more that one fourth the measure of the supplement of the angle. find the measure of the angle.
thanks

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angle be x
The compliment of the angle is 90-x
The supplement of the angle is 180-x
One fourth the measure = ¼(180-x)


90-x= ¼(180-x) + 24
90-x-24 = ¼(180-x)
4(90-x-24)= 180-x
360-4x-96 = 180-x
360-96-180=4x-x
84=3x
X=28.deg
M Ananth---- mananth@hotmail.com