SOLUTION: angle a and angle b are complementary. angle a equals 3x-22 degrees + angle b equals 2x+17 degrees

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Question 516351: angle a and angle b are complementary. angle a equals 3x-22 degrees + angle b equals 2x+17 degrees
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
angle a and angle b are complementary. angle a equals 3x-22 degrees + angle b equals 2x+17 degrees
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If two angles are complementary, the sum is 90 degrees.
(3x-22) + (2x+17) = 90
3x-22 + 2x+17 = 90
5x-5 = 90
5x = 95
x = 19
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angle a: 3x-22 = 3(19)-22 = 57-22 = 35 degrees
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angle b: 2x+17 = 2(19)+17 = 38+17 = 55 degrees