inscribed N-gon with different sides and integer angles (N=19,20)
Source: Tournament of Towns, Junior A-Level Paper, Spring 2020 , p3
June 10, 2020
CyclicinscribedpolygonIntegergeometrycombinatorial geometrycombinatorics
Problem Statement
Is it possible to inscribe an -gon in a circle so that all the lengths of its sides are different and all its angles (in degrees) are integer, where
a) ,
b) ?Mikhail Malkin