Question 76
Let $ABC$ be a triangle, $I$ its incenter, and $D$ a point on the arc $\widehat{BC}$ of the circumcircle of $ABC$ not containing $A$. The bisector of the angle $\angle ADB$ intersects the segment $AB$ at $E$. The bisector of the angle $\angle CDA$ intersects the segment $AC$ at $F$. Prove that the points $E$, $F$, $I$ are collinear.