In the given figure, PQ is a chord of the circle centered at O. PT is a tangent to the circle at P . If $\displaystyle \angle \mathrm{QPT}=55^{\circ}$, then find $\displaystyle \angle \mathrm{PRQ}$.

\[\begin{aligned} & \angle \mathrm{QPT}=55^{\circ} \\ & \Rightarrow \angle \mathrm{OPQ}=90^{\circ}-55^{\circ}=35^{\circ} \\ & \Rightarrow \angle \mathrm{OQP}=35^{\circ} \\ & \angle \mathrm{POQ}=180^{\circ}-70^{\circ}=110^{\circ} \\ & \text { And reflex } \angle \mathrm{POQ}=250^{\circ} \\ & \text { Hence } \angle \mathrm{PRQ}=125^{\circ} \end{aligned} \] This section comprises of short answer (SA) type questions of $\displaystyle 3$ marks each.