SOLUTION: The sum of the measures of two complementary angles is 74 degree greater than the difference of their measures. Find the measure of each angle. Explain how you found the angle meas

Question 991713: The sum of the measures of two complementary angles is 74 degree greater than the difference of their measures. Find the measure of each angle. Explain how you found the angle measures.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of the measures of two complementary angles is 74 degree greater than the difference of their measures. Find the measure of each angle. Explain how you found the angle measures.
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angle:: x
complementary:: 90-x
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Equation:
Sum = 74 degrees greater than difference
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90 = (90-x)-x + 74
16 = 90-2x
2x = 74
x = 37 (angle)
90-x = 53 (complement)
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Cheers,
Stan H.
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