Let A B C D be a rhombus with \angle A D C=46^{\circ}. Let E be the midpoint of \overline{C D}, and let F be the point on \overline{B E} such that \overline{A F} is perpendicular to \overline{B E}. What is the degree measure of \angle B F C ?

**Answer Choices**

A. 110

B. 111

C. 112

D. 113

E. 114