SOLUTION: the measures of two complementary angles are 12q - 9 and 8q + 14. Find the measure of the angles

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Question 693540: the measures of two complementary angles are 12q - 9 and 8q + 14. Find the measure of the angles
Answer by ReadingBoosters(3246) About Me  (Show Source):
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Complementary angles have a sum of 90
12q - 9 + 8q + 14 = 90
combine like terms
20q + 5 = 90
isolate the variable
20q = 90 - 5
20q = 85
20q%2F20+=+85%2F20
q=4.25
such that,
12(4.25) -9 = 51-9 = highlight_green%2842%29 for one angle
8(4.25) + 14 = 34 + 14 = highlight_green%2848%29 for the other angle
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