SOLUTION: three time the complement of angle A is 60 degrees less then the supplement of angle A. find teh measure of angle A.

Question 519041: three time the complement of angle A is 60 degrees less then the supplement of angle A. find teh measure of angle A.
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
x = measure of angle A
90 - x = complement of angle A {complementary angles add up to 90�}
180 - x = supplement of angle A {supplementary angles add up to 180�}

3(90 - x) = 180 - x - 60 {three times complement is 60 less than supplement}
270 - 3x = 120 - x {used distributive property on left, combined like terms on right}
150 - 3x = -x {subtracted 120 from both sides}
150 = 2x {added 3x to both sides}
x = 75 {divided both sides by 2}

angle A = 75�

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