SOLUTION: The measure of an angle is 4/5 of the measure of its supplement. What is the measure of the angle of its supplement?

Question 309843: The measure of an angle is 4/5 of the measure of its supplement. What is the measure of the angle of its supplement?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The measure of an angle is 4/5 of the measure of its supplement. What is the measure of the angle of its supplement?
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Let the angle have measure = x.
Its supplement has measure = 180-x
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Equation:
x = (4/5)(180-x)
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x = 144 - (4/5)x
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(9/5)x = 144
x = 80 degrees (the angle)
180-x = 100 degrees (its supplement)
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Cheers,
Stan H.
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