$\angle \mathrm{QOM}=\angle \mathrm{POM}$; similarly, $\angle \mathrm{RON}=\angle \mathrm{PON}$.

Hence reflex $\angle \mathrm{QOR}=2\times \angle \mathrm{MON}={260}^{\circ }$.

Therefore $\angle \mathrm{QOR}={360}^{\circ }-{260}^{\circ }={100}^{\circ }$ .