SOLUTION: I am trying to find the measure of an angle whose supplement is 4 times the measure of its complement. I am so confused. Please help me!
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Question 88590: I am trying to find the measure of an angle whose supplement is 4 times the measure of its complement. I am so confused. Please help me! Answer by uma(370) (Show Source):
You can put this solution on YOUR website! Let the angle be x
Its supplement = 180 - x
Its complement = 90 - x
As per the given data,
4(90 - x) = 180 - x
==> 360 - 4x = 180 - x
==> 360 - 180 - 4x = -x
==> 180 - 4x = - x
==> 180 = 4x - x
==> 180 = 3x
==> 180/3 = x
==> x = 60
Thus the angle is 60degrees whose supplement is 4 times the measure of its complement.
Good Luck!!!
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