Geometry Challenge – 14

In the figure as shown, $ABCD$ is a unit square, $E$ is on $BC$, $F$ is on $CD$, $\angle{EAF}=45^\circ$, $\angle{AEB}=70^\circ$.

(1) Find the value of $\angle{AFE}.$

(2) Find the perimeter of $\triangle{CEF}$.

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