SOLUTION: Two angles are complementary. they have measures of (7x+2)degree and (3x-2)degree, respectively. what is the value of x?

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Question 451643: Two angles are complementary. they have measures of (7x+2)degree and (3x-2)degree, respectively. what is the value of x?

Answer by nerdybill(7384) About Me  (Show Source):
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Two angles are complementary. they have measures of (7x+2)degree and (3x-2)degree, respectively. what is the value of x?
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Since the sum of complementary angles is 90 degrees we get:
(7x+2) + (3x-2) = 90
7x+2 + 3x-2 = 90
10x+2-2 = 90
10x = 90
x = 9