MathDB
Angles between lines

Source: Iran TST 2007, Day 3

May 23, 2007
combinatorics proposedcombinatorics

Problem Statement

Suppose nn lines in plane are such that no two are parallel and no three are concurrent. For each two lines their angle is a real number in [0,π2][0,\frac{\pi}2]. Find the largest value of the sum of the (n2)\binom n2 angles between line. By Aliakbar Daemi