SOLUTION: One of two complementary angles is 2 less than three times the other angle. Find the larger angle.

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Question 351265: One of two complementary angles is 2 less than three times the other angle. Find the larger angle.
Answer by nerdybill(7384) About Me  (Show Source):
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One of two complementary angles is 2 less than three times the other angle. Find the larger angle.
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Two angles are complementary when the sum is 90 degrees.
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Let x= one of two angles
then
3x-2 = second angle
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x + 3x-2 = 90
4x - 2 = 90
4x = 92
x = 23 degrees
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Second angle:
3x-2 = 3(23)-2 = 69-2 = 67 degrees
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Answer: 67 degrees