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Feature With HUGE Tolerance

I am being asked to confirm the orientation of a round clip, similar to a hose clamp. The dimension is an angle, and the tolerance is ±45°. Since the clip can be anywhere in this 90° range, what is the best way for the CMM to 'find' it? (without taking manual hits on it of course). The polar radius of the clip location is about 35 mm if that helps.