Concurrent lines in hexagon - 2015 PAMO Problem 2
Source: 2015 Pan-African Mathematics Olympiad Problem 2
August 26, 2015
geometryhexagonconcurrency
Problem Statement
A convex hexagon is such that
AB=BC CD=DE EF=FA
and
\angle ABC=2\angle AEC \angle CDE=2\angle CAE \angle EFA=2\angle ACE
Show that , and are concurrent.