Question

use the figure to complete each part. (a) name the sides of ∠1. and (b) name the vertex of ∠sqt. (c) write two other names for ∠rqs. and

Explanation:

Step1: Recall angle - side definition

An angle's sides are the rays that form it. For $\angle1$, the rays are $\overrightarrow{QT}$ and $\overrightarrow{QR}$.

Step2: Recall vertex definition

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

Step3: Recall angle - naming rules

An angle can be named by the vertex (if there is no ambiguity), or by three points with the vertex in the middle. For $\angle RQS$, other names are $\angle2$ and $\angle SQR$.

Answer:

(a) $\overrightarrow{QT}$ and $\overrightarrow{QR}$
(b) $Q$
(c) $\angle2$ and $\angle SQR$