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Because $\overline{AB}$, $\overline{FG}$, and $\overline{DC}$ are all perpendicular to $\overline{BC}$, we have $\overline{AB}\parallel\overline{FG}\parallel\overline{DC}$ Therefore, we have $\angle FAB = \angle FED$ and $\angle EDF = \angle FBA$, which