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How do I find the variables and the measures of the angles

How do I find the variables and the measures of the angles-example-1

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Given that the triangle in the picture is a right triangle, then ∠A and ∠B are complementary, that is,

m∠A + m∠B = 90°

Replacing with data, and solving for x,

(3x + 3) + (5x + 7) = 90

(3x + 5x) + (3 + 7) = 90

8x + 10 = 90

8x = 90 - 10

8x = 80

x = 80/8

x = 10

Therefore,

m∠A = 3x + 3 = 3(10) + 3 = 33°

m∠B = 5x + 7 = 5(10) + 7 = 57°

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