Question

(a) name the vertex of ∠sqr.
(b) name the sides of ∠2.
(c) write two other names for ∠1.

Explanation:

Step1: Recall vertex - angle relationship

The vertex of an angle is the common endpoint of the rays that form the angle. For ∠SQR, the common endpoint of rays $\overrightarrow{QS}$ and $\overrightarrow{QR}$ is point Q.

Step2: Recall sides - angle relationship

The sides of an angle are the rays that form the angle. For ∠2, the rays are $\overrightarrow{QS}$ and $\overrightarrow{QR}$.

Step3: Recall angle - naming conventions

An angle can be named in multiple ways. For ∠1, two other names are ∠RQT and ∠TQR.

Answer:

(a) Q
(b) $\overrightarrow{QS}$, $\overrightarrow{QR}$
(c) ∠RQT, ∠TQR