SOLUTION: the complement of a angle measures 10 degrees less than one fifth of its supplement. Find the measure of the angle

Question 294282: the complement of a angle measures 10 degrees less than one fifth of its supplement. Find the measure of the angle
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
the complement of a angle measures 10 degrees less than one fifth of its supplement. Find the measure of the angle
Let x be the angle. Its complement then is 90-x and its supplement is 180-x. Then we have:
90-x = (1/5)*(180-x) - 10
90-x = 36 - x/5 - 10
90-x = 26 - x/5
x-x/5 = 64
(4/5)*x = 64
x = (5/4)*64
x = 80

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