SOLUTION: Angle A has the property that thirteen times its complement is equal to four times its supplement. Find the measure of angle A.

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Question 910901: Angle A has the property that thirteen times its complement is equal to four times its supplement. Find the measure of angle A.
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
complement of A = 90 - A
supplement of A = 180 - A
13(90 - A) = 4(180 - A)
1170 -13A = 720 -4A
add -720 to each side
450 -13A = -4A
add 13A to each side
450 = 9A
divide each side by 9
50 = A
Angle A is 50 degrees.
Notice that 13(90-50) = 4(180-50)
13(40) = 4(130)
520 = 520