Describing a Triangle in a Circle

Geometry Level 3

A triangle \(ABC\) is drawn on the diameter \(AB\) of a circle with center \(O\) such that \(C\) is a point on the circumference. If the ratio of the area of the circle to the area of the triangle is \(2\pi\), 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 \( 2 \times 3 = 6 \).

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