Hey! Let me help you on this one.
First of all, let's examine these two triangles.
Yes, they are indeed congruent. For example, angle

is congruent to angle

.
In order for us to find measures of angle

, let's find the measure of its congruent angle -

In order for us to find it, we need to know that if we add all the measures of angles, we will get 180.

Now, let's solve this

Simplify it.

As we can see, E is set at 56 degrees, meaning that the angle congruent to it is also set at 56 degrees.
Answer: Measure of angle B is 56 degrees.