Does a parallelogram exist such that all pairwise meets of bisectors of its angles are situated outside it?
Problem
Source: 2007 Sharygin Geometry Olympiad Correspondence Round P4
Tags: geometry, parallelogram, angle bisector
Source: 2007 Sharygin Geometry Olympiad Correspondence Round P4
Tags: geometry, parallelogram, angle bisector
Does a parallelogram exist such that all pairwise meets of bisectors of its angles are situated outside it?