146k views
5 votes
△ABC∼△EFG ​.

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

User Kibo
by
8.2k points

2 Answers

4 votes

Answer:

I just took the test and got it correct!!

Step-by-step explanation:

Look at the image down below ♡\( ̄▽ ̄)/♡

△ABC∼△EFG ​. Given m∠C=52° and m∠E=61° , what is m∠B?-example-1
User Personal Jesus
by
7.0k points
2 votes
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.
User Darraghmurphy
by
8.7k points