MathDB
Rioplatense L-1 2022 #5

Source:

December 13, 2022
geometry

Problem Statement

Let ABCDEFGHIABCDEFGHI be a regular polygon with 99 sides and the vertices are written in the counterclockwise and let ABJKLMABJKLM be a regular polygon with 66 sides and the vertices are written in the clockwise. Prove that ∠HMG=∠KEL\angle HMG=\angle KEL. Note: The polygon ABJKLMABJKLM is inside of ABCDEFGHIABCDEFGHI.
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