Let $ABCDEF$ be a convex hexagon with $AB = CD = EF$, $BC =DE = FA$ and $\angle A+\angle B = \angle C +\angle D = \angle E +\angle F$. Prove that $\angle A=\angle C=\angle E$ and $\angle B=\angle D=\angle F$. Tran Quang Hung
Problem
Source: 2016 Saudi Arabia IMO TST , level 4+, IV p2
Tags: convex, hexagon, equal segments, angles, equal angles, geometry