Given an acute triangle $ABC$ with a tangent to its circle at point $B$. If $E$ is the foot of the perpendicular from $B$ to $AC$ and $F$ is the foot of the perpendicular of $C$ to the tangent line. Show that $EF$ is parallel to $AB$.
2026-04-29 11:52:10.1777463530
Euclidean geometry; concyclic points and parallelism problem.
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