To determine the value(s) of x for which BEFA ≅ EDCB, we need to examine the given diagram or information related to it. Unfortunately, you did not provide any specific information or diagram. Hence, it is not possible to provide an answer without any context or details regarding the figure or the problem.
However, I can provide a general approach to solving a problem like this. If you are given a diagram with points and sides labeled, you can try to identify any congruent sides or angles. This can be done by comparing the corresponding sides and angles of the two triangles, BEFA and EDCB. If the corresponding sides and angles are congruent, the triangles will be congruent.
To determine the value(s) of x, you may need additional information, such as measurements of sides or angles, or any given conditions or restrictions. Without this information, it is not possible to determine the specific value(s) of x for which BEFA ≅ EDCB.