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KöMaL 2022 C1734

    A circle kk with diameter ABAB has center OO. We draw the circle k1k_1 with diameter OBOB, and the line parallel with ABAB that touches the circle k1k_1 at point CC. This line intersects the circle kk at points D1D_1 and D2D_2. Determine the angles ∠COD1\angle COD_1 and ∠COD2\angle COD_2 exactly.

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