△abc∼△efg . given m∠c=52° and m∠e=61° , what is m∠b?

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.