Question 2
In convex quadrilateral $ABCD$, bisectors of $\angle DAB$ and $\angle ABC$ intersect at $E$, bisectors of $\angle BCD$ and $\angle CDA$ intersect at $F$, as shown in the figure below. If $\angle AEB=80^\circ$, what is the angle measure, in degrees, of $\angle DFC$?
