Day 21: This Diagram Looks Familiar

Geometry Level 2

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

As shown, B,D,E,FB, D, E, F are also concyclic.

Find the angle between line segments EFEF and ACAC.

This problem is part of the Advent Calendar 2015.

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