Day 21: This Diagram Looks Familiar

Geometry Level 2

A cyclic quadrilateral has its sides extended and they do meet, creating points \(E\) and \(F\) in the diagram.

As shown, \(E\) and \(F\) form a circle together with two vertices of the quadrilateral \((\)say \(B\) and \(D).\)

Find the angle between line segments \(EF\) and \(AC\).

This problem is part of the Advent Calendar 2015.

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