Let PQRS be a quadrilateral in a plane, where $\mathrm{QR}=1, \angle \mathrm{PQR}=\angle \mathrm{QRS}=70^{\circ}, \angle \mathrm{PQS}=15^{\circ}$ and $\angle \mathrm{PRS}=40^{\circ}$. If $\angle \mathrm{RPS}=\theta^{\circ}, \mathrm{PQ}=\alpha$ and $\mathrm{PS}=\beta$, then the interval(s) that contain(s) the value of $4 \alpha \beta \sin \theta^{\circ}$ is/are