2022 AMC 10B Problem 20

Let ABCD be a rhombus with \angle{ADC} = 46^{\circ}. Let E be the midpoint of \overline{CD}, and let F be the point on \overline{BE} such that \overline{AF} is perpendicular to \overline{BE}. What is the degree measure of \angle{BFC}?

\textbf{(A)}\ 110 \qquad \textbf{(B)}\ 111 \qquad \textbf{(C)}\ 112 \qquad \textbf{(D)}\ 113 \qquad \textbf{(E)}\ 114

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.