MathDB
2014 BMT Team 5

Source:

January 6, 2022
geometrynumber theory

Problem Statement

Call two regular polygons supplementary if the sum of an internal angle from each polygon adds up to 180o180^o. For instance, two squares are supplementary because the sum of the internal angles is 90o+90o=180o90^o + 90^o = 180^o. Find the other pair of supplementary polygons. Write your answer in the form (m,n)(m, n) where m and n are the number of sides of the polygons and m<nm < n.