min and max no of parts that are angles so that n lines divide the plane
Source: 2011 Sharygin Geometry Olympiad Correspondence Round P18
April 6, 2019
geometrycombinatorial geometrylinesDissecting planeSharygin Geometry Olympiad
Problem Statement
On the plane, given are lines in general position, i.e. any two of them aren’t parallel and any three of them don’t concur. These lines divide the plane into several parts. What is
a) the minimal,
b) the maximal number of these parts that can be angles?