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