2019 IGO Advanced P2
Source: 6th Iranian Geometry Olympiad (Advanced) P2
September 20, 2019
IGOIrangeometrycombinatorics
Problem Statement
Is it true that in any convex -gon with , there exists a vertex and a diagonal passing through this vertex such that the angles of this diagonal with both sides adjacent to this vertex are acute?Proposed by Boris Frenkin - Russia