SOLUTION: Two angles are complementary. If five times the smaller is increased by 40 degrees the result is the same as when three times the larger is decreased by 54 degrees. Find the measur

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Question 703122: Two angles are complementary. If five times the smaller is increased by 40 degrees the result is the same as when three times the larger is decreased by 54 degrees. Find the measure of each angle
Answer by stanbon(75887) About Me  (Show Source):
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Two angles are complementary. If five times the smaller is increased by 40 degrees the result is the same as when three times the larger is decreased by 54 degrees. Find the measure of each angle
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Equations:
x + y = 90
5x+40 = 3y-54
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Modify:
5x + 5y = 5*90
5x - 3y = -94
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Subtract and solve for "y":
8y = 544
y = 68 degrees
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Solve for "x":
x + y = 90
x + 68 = 90
x = 22 degrees
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Cheers,
Stan H.