AMC 10 2021-fall-a Problem 7

As shown in the figure below, point $E$ lies on the opposite half-plane determined by line $CD$ from point $A$ so that $\angle CDE = 110^\circ$. Point $F$ lies on $\overline{AD}$ so that $DE=DF$, and $ABCD$ is a square. What is the degree measure of $\angle AFE$?

$\textbf{(A) }160 \textbf{(B) }164 \textbf{(C) }166 \textbf{(D) }170 \textbf{(E) }174$