SOLUTION: the complement of an angle measures 10 degrees less than one-fifth of it's supplement. find the measure of the angle

Question 392414: the complement of an angle measures 10 degrees less than one-fifth of it's supplement. find the measure of the angle
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the complement of an angle measures 10 degrees less than one-fifth of it's supplement. find the measure of the angle.
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Let the angle be "x".
Its complement is 90-x
Its supplement is 180-x
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Equation:
90-x = (1/5)(180-x)-10
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100-x = (1/5)(180-x)
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500-5x = 180-x
4x = 320
x = 80 degrees
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Cheers,
Stan H.
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