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Bangladesh Mathematical Olympiad 2020 Final

Source: BdMO 2020 Final Primary Category Problem 8

August 30, 2020
geometryanalytic geometry

Problem Statement

Let ABCABC be a triangle where∠\angleB=55 and ∠\angle C = 65. D is the mid-point of BC. Circumcircle of ACD and ABD cuts AB and AC at point F and E respectively. Center of circumcircle of AEF is O. ∠\angleFDO = ?
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