SOLUTION: Two angles are complementary. The measure of one angle is 42° more than three times the measure of the other. Find the measure of each angle

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Question 675896: Two angles are complementary. The measure of one angle is 42° more than three times the measure of the other. Find the measure of each angle

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x = one angle
y = other angle
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x = 42 + 3y
x+y = 90
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substitute x into the second equation
42+3y + y = 90
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combine like terms
42 + 4y = 90
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isolate y
4y = 90 - 42
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4y = 48
divide both sides by 4
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highlight_green%28y+=+12%29degrees
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x = 42 + 3y = 42 + 3(12) = 42 + 36 = highlight_green%28x=78%29 degrees
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