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collinear points in the regular 7-gon

Source: Mexican Mathematical Olympiad 1995 OMM P3

July 28, 2018
geometryregular polygoncollinear

Problem Statement

A,B,C,DA, B, C, D are consecutive vertices of a regular 77-gon. ALAL and AMAM are tangents to the circle center CC radius CBCB. NN is the intersection point of ACAC and BDBD. Show that L,M,NL, M, N are collinear.
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