Question 491308: The complement of an angle measures 10 less than one-fifth of its supplement. Find the measure of the angle. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! The complement of an angle measures 10 less than one-fifth of its supplement. Find the measure of the angle.
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Let x = the angle
then
90-x = the complement
180-x = the supplement
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90-x = (1/5)(180-x)
Multiplying both sides by 5:
450-5x = 180-x
450 = 180+4x
270 = 4x
67.5 degrees = x
