2

Part of 2016 Ecuador NMO (OMEC)

Problems(1)

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

Source:

All diagonals are plotted in a

2017

-sided convex polygon. A line

\ell

intersects said polygon but does not pass through any of its vertices. Show that the line

\ell

intersects an even number of diagonals of said polygon.

polygongeometry