# 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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