Question

use the figure to complete each part. (a) name the sides of ∠2. and (b) write two other names for ∠1. and (c) name the vertex of ∠sqr.

Explanation:

Part (a)

Step1: Recall angle side definition

An angle's sides are the two rays forming it. For \( \angle 2 \), the vertex is \( Q \), and the rays are \( \overrightarrow{QR} \) and \( \overrightarrow{QS} \).

Step1: Recall angle naming rules

An angle can be named by vertex (if unique) or by three points (vertex in middle). For \( \angle 1 \), vertex is \( Q \), sides are \( \overrightarrow{QT} \) and \( \overrightarrow{QR} \). So other names: \( \angle TQR \) (three - point, \( Q \) in middle) and \( \angle RQT \) (three - point, \( Q \) in middle), or \( \angle Q \) (if unique at \( Q \), but here with two other rays, three - point is better).

Step1: Recall vertex definition

The vertex of an angle is the common endpoint of the two rays forming the angle. For \( \angle SQR \), the rays are \( \overrightarrow{QS} \) and \( \overrightarrow{QR} \), common endpoint is \( Q \).

Answer:

\( \overrightarrow{QR} \) and \( \overrightarrow{QS} \)

Part (b)