1. **State the problem:** We are given trapezoid PQRS with vertices P, Q, R, S in clockwise order. Given: $m\angle P = 104^\circ$ and $m\angle R = 41^\circ$. We need to find $m\angle Q$ and $m\angle S$. 2. **Recall trapezoid angle properties:** In a trapezoid, the consecutive angles between the parallel sides are supplementary, meaning their measures add up to $180^\circ$. 3. **Identify parallel sides:** Since PQRS is a trapezoid, assume sides $\overline{PQ}$ and $\overline{RS}$ are parallel. 4. **Apply supplementary angle rule:** - $m\angle P + m\angle Q = 180^\circ$ - $m\angle R + m\angle S = 180^\circ$ 5. **Calculate $m\angle Q$:** $$m\angle Q = 180^\circ - m\angle P = 180^\circ - 104^\circ = 76^\circ$$ 6. **Calculate $m\angle S$:** $$m\angle S = 180^\circ - m\angle R = 180^\circ - 41^\circ = 139^\circ$$ **Final answers:** $$m\angle Q = 76^\circ$$ $$m\angle S = 139^\circ$$