Describing a Triangle in a Circle

Geometry Level 3

A triangle ABCABC is drawn on the diameter ABAB of a circle with center OO such that CC is a point on the circumference. If the ratio of the area of the circle to the area of the triangle is 2π2\pi, find the sum of the digital products of the non-right angles in degree measure.

Note: The digital product is the product of the digits. For example, the digital product of 23 is 2×3=6 2 \times 3 = 6 .

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