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△ABC∼△EFG ​.

Given m∠C=52° and m∠E=61° , what is m∠B?

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User Kibo
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4 votes

Answer:

I just took the test and got it correct!!

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△ABC∼△EFG ​. Given m∠C=52° and m∠E=61° , what is m∠B?-example-1
answered
User Personal Jesus
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7.5k points
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Angle B is 67 degrees. The definition of similar triangles gives us that the corresponding angles are equal. Angle E in the second triangle corresponds to angle A in the first triangle, ∠A=∠E=61 degrees. The sum of the internal angles of Triangle ABC is 180 degrees, so ∠B=180-61-52=67 degrees.
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User Darraghmurphy
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