On the side $AC$ of the triangle $ABC$ in the external side is constructed the parallelogram $ACDE$ . Let $O$ be the intersection point of its diagonals, $N$ and $K$ be midpoints of BC and BA respectively. Prove that lines $DK, EN$ and $BO$ intersect at one point.
Problem
Source: 2019 Oral Moscow Geometry Olympiad grades 8-9 p2
Tags: geometry, parallelogram, concurrency, concurrent