SOLUTION: Please help me solve this problem: the difference between the measures of two complementary angles is 14. Find both angles.
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Question 599461: Please help me solve this problem: the difference between the measures of two complementary angles is 14. Find both angles. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! Please help me solve this problem: the difference between the measures of two complementary angles is 14. Find both angles.
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Two angles are complementary if the sum of the two angles equals 90 degrees.
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Let x = measure of one angle
then
90-x = measure of second angle
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x - (90-x) = 14
x - 90+x = 14
2x - 90 = 14
2x = 104
x = 52 degrees
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second angle:
90-x = 90-54 = 36 degrees
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answer: 52 and 36 degrees
