Question

​ △ABC∼△EFG ​.

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

Answer 1

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Answer 2

In this question , it is given that

△ABC∼△EFG ​.

Given m∠C=52° and m∠E=61°

Since the triangles are similar, so we have

m∠C=m∠G=52°

m∠A=m∠E=61°

m∠B=m∠F=x

And sum of measurements of angles of a triangle is 180 degree, that is

`m \angle A + m \angle B + \angle C = 180`

`52+61+x =180 \\ 113 +x = 180 \\ 113+x-113 = 180-113 \\ x = 67`

So the measurement of angle B is 67 degree.