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Miquel’s star

A convex pentagon ABCDE with extended sides and five circles connecting vertices and intersections. Prove that FKBMI are concyclic. Bonus question: prove KLMNO concyclic.

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Solution

Solution by Bob Ruyle.
Bonus solution by Stéphane Bernard.

More solutions: https://x.com/Mirangu1/status/1872559072098324658

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