SOLUTION: The measure of an angle is 12 more than 5 times its complement. What is the measure of the angle?
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Question 952321
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The measure of an angle is 12 more than 5 times its complement. What is the measure of the angle?
Answer by
macston(5194)
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a=angle; c=complement
a=90-c
5c+12=a
5c+12=90-c Subtract 12-c from each side.
6c=78m Divide each side by 6
c=13
a=90-c=90=13=77 ANSWER: The angle is 77 degrees
CHECK:
a-12=5c
77-12=5(13)
65=65