Proving Congruence of Triangles with Angle Bisector Properties

In triangle $ABC$, the angle bisector of $\angle A$ intersects side $BC$ at point $D$. Points $E$ and $F$ are situated on sides $AB$ and $AC$, respectively, such that $\angle EBD = \angle FCD$. Prove that triangles $EBD$ and $FCD$ are congruent.