Question

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

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: Identify sides of an angle

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

Step3: Find alternative angle names

An angle can be named in different ways. ∠1 can also be named as ∠RQT or ∠TQR since the angle is formed by rays $\overrightarrow{QR}$ and $\overrightarrow{QT}$ with vertex Q.

Answer:

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