Trigonometry! #23

Geometry Level 3

If the inradius, the exradius (of the circle tangent to the side opposite to \(C\)) and the circumradius of \(\Delta ABC\) are \(2\), \(12\), and \(5\) respectively, then the measure of \(\angle C\), in degrees, is

This problem is part of the set Trigonometry.

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