MathNet 2019-part-04 — 184 problems (EN–VI) Question 39

In triangle $A B C$ the median $A M$ and the angle bisector $B N$ intersect at the point $P$. Determine the measures of the angles of triangle $A B C$, given that the lines $M N$ and $B C$ are perpendicular and $B P: A N=3: 2$.