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The measures of two complementary angles are 3x+1 and 5x-y. Find x

A: 8
B: 12
C: 14
D: 23

1 Answer

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Hello! Complementary angles are 90 degrees each. Two of them combined equals 180 degrees. To find the "x" value, we have to write out the formula. This would be 8x + 1 - y = 180. Just by looking at the answer choices, the answers are not A or B. The answer would have to be D, because when you plug in the number, it would be a little over. However, if you subtract 5, you would get 180. y = 5, x = 23. The answer is D: 23.
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