Trigno+geometry

Geometry Level 4

\[ \large \begin{cases}{3\sin A + 4\cos B = 6} \\ {3\cos A + 4\sin B = 1}\end{cases} \]

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