Day 21: This Diagram Looks Familiar

Geometry Level 2

A cyclic quadrilateral has its sides extended and they do meet, creating points EE and FF in the diagram.

As shown, EE and FF form a circle together with two vertices of the quadrilateral ((say BB and D).D).

Find the angle between line segments EFEF and ACAC.

This problem is part of the Advent Calendar 2015.

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