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Putnam 2019 A2

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December 10, 2019
PutnamPutnam 2019

Problem Statement

In the triangle △ABC\triangle ABC, let GG be the centroid, and let II be the center of the inscribed circle.  Let α\alpha and β\beta be the angles at the vertices AA and BB, respectively.  Suppose that the segment IGIG is parallel to ABAB and that β=2tan⁡−1(1/3)\beta = 2\tan^{-1}(1/3).  Find α\alpha.
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