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MK-MO 1998 Problem 1

    Let ABCDEABCDE be a convex pentagon with AB=BC=CAAB = BC =CA and CD=DE=ECCD = DE = EC . Let TT be the centroid of △ABC\vartriangle ABC , and NN be the midpoint of AEAE . Compute ∠NTD\angle NT D

    Dataset text AI-MO AoPS. Quoted with source.

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