MathDB
2011 ToT Fall Senior O p5 10 lines in general position, sum of angles

Source:

March 22, 2020
Sumcombinatorial geometrycombinatoricslinesangles

Problem Statement

In the plane are 1010 lines in general position, which means that no 22 are parallel and no 33 are concurrent. Where 22 lines intersect, we measure the smaller of the two angles formed between them. What is the maximum value of the sum of the measures of these 4545 angles?