SOLUTION: the smaller of two complementary angles is 46 less than the larger angle. find the measures of the two angles

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Question 347848: the smaller of two complementary angles is 46 less than the larger angle. find the measures of the two angles
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: The sum of complementary angles is 90 degrees
.
Let c represent the smaller of the two angles. (c + 46) the larger.
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c + (c + 46) =90
2*c + 46 = 90
2*c = 44
c = 22 the smaller angle
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(c + 46) or 68 the larger angle
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Check your answer:
22 + 68 = 90