Trigno+geometry

Geometry Level 4

{3sinA+4cosB=63cosA+4sinB=1 \large \begin{cases}{3\sin A + 4\cos B = 6} \\ {3\cos A + 4\sin B = 1}\end{cases}

In a triangle ABCABC, we are given that two angles A,BA,B satisfy the equation above, find the measure of the remaining angle, CC (in degrees).

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