SOLUTION: an angle measures is five times the measure of its complement. what is the measure of the larger angle?

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Question 334817: an angle measures is five times the measure of its complement. what is the measure of the larger angle?
Answer by nerdybill(7384) About Me  (Show Source):
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an angle measures is five times the measure of its complement. what is the measure of the larger angle?
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The sum of two "complementary" angles is 90 degrees.
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Let x = smaller angle
then
5x = larger angle
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x + 5x = 90
6x = 90
x = 90/6
x = 15 deg (smaller angle)
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Larger angle:
5x = 5(15) = 75 degrees