1. **State the problem:** We need to find the degree measure of angle $\angle ROS$ given that $mRS = 35^\circ$ and there is a $30^\circ$ angle marking at $Q/P$. 2. **Analyze the figure and given information:** The points $Q, P, R, S, O$ lie on a circle or configuration where $\angle ROS$ is formed by rays $OR$ and $OS$. 3. **Use the property of angles in circles or polygons:** If $mRS = 35^\circ$ is an arc or angle related to $\angle ROS$, and there is a $30^\circ$ angle at $Q/P$, these angles likely relate through the circle's properties or triangle angle sums. 4. **Apply the angle sum rule:** The sum of angles around point $O$ or in the relevant triangle must be $180^\circ$. 5. **Calculate $m\angle ROS$:** Since $mRS = 35^\circ$ and the other angle is $30^\circ$, then $$m\angle ROS = 180^\circ - 35^\circ - 30^\circ = 115^\circ$$ 6. **Final answer:** $$m\angle ROS = 115^\circ$$