SOLUTION: Two complementary angles are represented by expressions 3x+5 and 2x+10. Find the measures of both angles

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Question 671994: Two complementary angles are represented by expressions 3x+5 and 2x+10. Find the measures of both angles
Answer by nerdybill(7384) About Me  (Show Source):
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Two complementary angles are represented by expressions 3x+5 and 2x+10. Find the measures of both angles
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If two angles are complementary, then the sum is 90 degrees so we have:
(3x+5) + (2x+10) = 90
5x+15 = 90
5x = 75
x = 15
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measure of one angle then is:
3x+5 = 3(15)+5 = 45+5 = 50 degrees
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measure of second angle then is:
2x+10 = 2(15)+10 = 30+10 = 40 degrees