Task B-3.8. For the angles $\alpha$ and $\beta$ of triangle $ABC$, the following holds:

$$
\begin{aligned}
& 3 \sin \alpha + 4 \cos \beta = 6 \\
& 4 \sin \beta + 3 \cos \alpha = 1
\end{aligned}
$$

Determine the measure of angle $\gamma$ of this triangle.