MathDB
maximal number of 120^o angles in specific 7-gons

Source: Nordic Mathematical Contest 1999 #2

October 3, 2017
maximumpolygonanglegeometry

Problem Statement

Consider 77-gons inscribed in a circle such that all sides of the 77-gon are of different length. Determine the maximal number of 120∘120^\circ angles in this kind of a 77-gon.