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

Algebra ->  Angles -> 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      Log On


   



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) About Me  (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.