Question: Four points on a circle divide it into four arcs, whose sides are 52 degrees, 116 degrees, 100 degrees, and 92 degrees, in consecutive order.

Four points on a circle divide it into four arcs, whose sides are 52 degrees, 116 degrees, 100 degrees, and 92 degrees, in consecutive order. The four points determine two intersecting cords. Find the sizes of the angles formed by the intersecting chords.

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