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 $\angle{BFC}$ ?