The two triangles in the following are congruent. what is m angle b?

The correct answer option is A. 37°.

Step-by-step explanation:

We are given two congruent triangles: ΔABC and ΔEFG.

Two triangles are said to be congruent if their corresponding angles are equal in measure and their sides are equal in length.

So if ∠A = 96° then its corresponding angle ∠E = 96°.

if ∠G = 47° then its corresponding angle ∠C = 47°.

We know that the sum of all three angles of a triangle is equal to 180°. For ΔABC, we know the measure of ∠A and ∠C so we can find ∠B.

∠A + ∠B + ∠C = 180°

96° + ∠B + 47° = 180°

∠B = 180° - 96° - 47°

∠B = 37°

Therefore, the correct answer option is A. 37°.