Question 80
Given $\triangle ABC$ with $AB \lt AC$, the altitude $AD$, angle bisector $AE$, and median $AF$ are drawn from $A$, with $D, E, F$ all lying on $\overline{BC}$. If $\measuredangle BAD = 2 \measuredangle DAE = 2 \measuredangle EAF = \measuredangle FAC$, what are all possible values of $\measuredangle ACB$?