SOLUTION: An angle and it's complement always have a sum of 90 degrees the sum of the measures of an angle and five times its complement is 298 degrees What is the measure of the angle

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Question 1005770: An angle and it's complement always have a sum of 90 degrees the sum of the measures of an angle and five times its complement is 298 degrees What is the measure of the angle
Answer by fractalier(6550) About Me  (Show Source):
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Call the measure of the unknown angle, x. Its complement is 90-x. Then we have
x + 5(90-x) = 298
x + 450 - 5x = 298
-4x + 450 = 298
-4x = -152
x = 38 degrees