Choose the correct option:

In the given figure, find $\angle PRQ$.

Given: $\angle SPQ={50}^o, \angle SQP={50}^o$

In $\Delta PSQ,$

$\angle PSQ+\angle SPQ+\angle SQP={180}^o$  [Angle sum property of triangle]

$\Rightarrow \angle PSQ+{50}^{\mathrm{o}}+{50}^{\mathrm{o}}={180}^{\mathrm{o}}$

$\Rightarrow \angle PSQ={80}^o$

We know that angles subtended by an arc in the same segment are equal.

$\therefore \angle PRQ=\angle PSQ$

$\Rightarrow \angle PRQ={80}^o$  [$\because PSQ={80}^o$]

Hence, $\angle PRQ={\mathbf{80}}^{\mathbf{o}}$