MathNet 2015-part-01 — 191 problems (EN–VI) Question 157

In the drawing below, the points $E$ and $F$ lie on the sides $AB$ and $BD$ of the triangle $\triangle ABD$ so that $AE = AC$ and $CD = FD$. If $\angle ABD = 60^{\circ}$, determine the measure of the angle $\angle ECF$.