Hard geo?

For discussing Olympiad level Geometry Problems
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Ananya Promi
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Joined: Sun Jan 10, 2016 4:07 pm
Location: Naogaon, Bangladesh

Hard geo?

Unread post by Ananya Promi » Thu Mar 29, 2018 1:01 pm

$ABCDEF$ is a convex hexagon inscribed in a circle so that the diagonals $AD, BE$ and $CF$ are concurrent at $J$ and $$\angle{AJB}=\angle{BJC}=60^o$$. Prove that, $AJ+CJ+EJ=BJ+DJ+FJ$.

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