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even no of diagonals in convex 2017-gon 2016 Ecuador NMO (OMEC) 3.2

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September 17, 2021
polygongeometry

Problem Statement

All diagonals are plotted in a 20172017-sided convex polygon. A line ℓ\ell intersects said polygon but does not pass through any of its vertices. Show that the line ℓ\ell intersects an even number of diagonals of said polygon.
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