Question 75
Let $D$ be the midpoint of the side $AB$, let $E$ be the point of intersection of the side $BC$ and the bisector of the angle $\angle BAC$, and let $F$ be the orthogonal projection of the point $E$ onto the side $AB$ of the triangle $ABC$. Suppose $\angle CDA = \angle ACB$ and $|CE| = |BF|$. Find the sizes of the angles of the triangle $ABC$.