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

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Question 855343: Angle A has the property that thirteen times its complement is equal to four times its supplement. What is the measure of angle A?
Found 2 solutions by Alan3354, lwsshak3:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
13*(90-A) = 4*(180-A)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Angle A has the property that thirteen times its complement is equal to four times its supplement. What is the measure of angle A?
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complement of angle A=90-A
supplement of angle A=180-A
13(90-A)=4(180-A)
1170-13A=720-4A
450=9A
A=50
measure of angle A=50˚