Please reason step by step, and put your final answer within \boxed{}.
Given are two congruent equilateral triangles $ABC$ and $BDE$ such that points $A$, $B$, and $D$ lie on the same line, and points $C$ and $E$ lie in the same half-plane bounded by this line. The intersection of lines $CD$ and $AE$ is denoted as $F$. Determine the measure of angle $AFD$.
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