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Problem 2 of Second round

Source: XI International Festival of Young Mathematicians Sozopol 2022, Theme for 11-12 grade

September 9, 2022
geometryangles

Problem Statement

Let ABCABC be a triangle with ∠BAC=40∘\angle BAC=40^\circ , OO be the center of its circumscribed circle and GG is its centroid. Point DD of line BCBC is such that CD=ACCD=AC and CC is between BB and DD. If AD∥OGAD\parallel OG, find ∠ACB\angle ACB.
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