Question

(a) name the vertex of ∠sqr. (b) name the sides of ∠2. (c) give 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 $\angle SQR$, the common endpoint is $Q$.

Step2: Recall sides - angle relationship

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

Step3: Rename angle

An angle can be named in different ways. $\angle 1$ can also be named as $\angle TQR$ and $\angle RQT$.

Answer:

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