Inside the triangle $ABC$ is point $P$, such that $BP > AP$ and $BP > CP$. Prove that $\angle ABC$ is acute.
Source: Ukrainian Geometry Olympiad 2020, VIII p2 , IX p1
Tags: angles, acute, geometry
Inside the triangle $ABC$ is point $P$, such that $BP > AP$ and $BP > CP$. Prove that $\angle ABC$ is acute.