Angles of triangles are integers
Source: Kvant Magazine No. 3 2022 M2691
March 8, 2023
geometryKvantcombinatorial geometry
Problem Statement
There are points marked on the plane. Any three of them form a triangle, the values of the angles of which in are expressed in natural numbers (in degrees). What is the maximum for which this is possible?Proposed by E. Bakaev