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NMTC Junior 2023 P8

Source: NMTC Junior 2023 P8

November 8, 2023
geometrynmtccyclic quadrilateral

Problem Statement

ABCDABCD is a cyclic quadrilateral. The midpoints of the diagonals ACAC and BDBD are respectively PP and QQ. If BDBD bisects ∠AQC\angle AQC, the prove that ACAC will bisect ∠BPD\angle BPD.
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