In the figure, $$ABC$$ and $$PQR$$ are two triangles such that $$\angle A \colon \angle B \colon \angle C = 5 \colon 6 \colon 7$$ and $$\angle PRQ = \angle B$$. $$PS$$ makes an angle $$\frac{\angle P}{3}$$ with $$PQ$$ and $$RS$$ makes an angle $$\frac{\angle SRT}{5}$$ with $$RQ$$. Then the measure of $$\angle S$$ is