Question 3
In triangle $ABC$, $D$ is on the extension of $BC$, and $F$ is on the extension of $AB$. The bisector of $\angle ACD$ meets the extension of $BA$ at $E$; the bisector of $\angle FBC$ meets the extension of $AC$ at $G$, as shown. If $CE=BC=BG$, find $\angle ABC$ in degrees.
