Question

what is ( mangle rqs )?

Explanation:

Step1: Find arc $RS$ measure

The central angle $\angle RPS = 120^\circ$, so the arc it subtends, $m\overset{\frown}{RS} = 120^\circ$.

Step2: Calculate $\angle RQS$ measure

$\angle RQS$ is an inscribed angle subtending $\overset{\frown}{RS}$. Inscribed angle = $\frac{1}{2}$ central angle.
$m\angle RQS = \frac{1}{2} \times 120^\circ$

Answer:

$60$