NL-NWO 2017 Problem 2

A parallelogram $ABCD$ with $|AD| =|BD|$ has been given. A point $E$ lies on line segment $|BD|$ in such a way that $|AE| = |DE|$ . The (extended) line $AE$ intersects line segment $BC$ in $F$ . Line $DF$ is the angle bisector of angle $CDE$ . Determine the size of angle $ABD$ .