Day 21: This Diagram Looks Familiar

Geometry Level 2

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

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

Find the angle between the lines \(EF\) and \(AC\).

This problem is part of the Advent Calendar 2015.

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