Given isosceles $\triangle ABC$ with $AB = AC$ and $\angle BAC = 22^{\circ}$. On the side $BC$ point $D$ is chosen such that $BD = 2CD$. The foots of perpendiculars from $B$ to lines $AD$ and $AC$ are points $E$, $F$ respectively. Find with the proof value of the angle $\angle CEF$.