MathNet 2026 — Part 04 Question 25

Let $ABC$ be a triangle, $L$, $M$ and $N$ the respective media of the sides $[BC]$, $[CA]$ and $[AB]$. We assume that $\widehat{ANC} = \widehat{ALB}$. Show that $\widehat{CAL} = \widehat{ABM}$.