Question

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

Explanation:

Step1: Recall angle - naming rules

An angle can be named by the vertex alone if there is only one angle at that vertex, or by three points with the vertex in the middle.

Step2: Answer part (a)

For $\angle2$, two other names are $\angle RQS$ and $\angle SQR$.

Step3: Answer part (b)

The sides of $\angle TQR$ are $\overrightarrow{QT}$ and $\overrightarrow{QR}$.

Step4: Answer part (c)

The vertex of $\angle1$ is point $Q$.

Answer:

(a) $\angle RQS$ and $\angle SQR$
(b) $\overrightarrow{QT}$ and $\overrightarrow{QR}$
(c) $Q$