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TOT 286 1991 Spring A J2 peprendicular in tangential pentagon

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June 9, 2024
geometrypentagonperpendicular

Problem Statement

The pentagon ABCDEABCDE has an inscribed circle and the diagonals ADAD and CECE intersect in its centre OO. Prove that the segment BOBO and the side DEDE are perpendicular.
(Folklore)
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