Question

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

Explanation:

Step1: Recall angle - naming rules

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

Step2: Answer part (a)

For $\angle RQS$, two other names are $\angle 2$ and $\angle SQR$.

Step3: Answer part (b)

The vertex of an angle is the common endpoint of the rays that form the angle. For $\angle SQT$, the vertex is $Q$.

Step4: Answer part (c)

The sides of $\angle 1$ are rays $\overrightarrow{QT}$ and $\overrightarrow{QR}$.

Answer:

(a) $\angle 2$, $\angle SQR$
(b) $Q$
(c) $\overrightarrow{QT}$, $\overrightarrow{QR}$