Let
be a convex hexagon with
,
,
, and
. Prove that the diagonals
,
, and
are concurrent.
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Let $ABCDEF$ be a convex hexagon with $AB = DE$, $BC = EF$, $CD = FA$, and $\angle A - \angle D = \angle C - \angle F = \angle E - \angle B$. Prove that the diagonals $AD$, $BE$, and $CF$ are concurrent.