Question

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

Explanation:

Step1: Recall angle - side definition

An angle is formed by two rays with a common endpoint. For ∠2, the two rays are the sides.

Step2: Identify sides of ∠2

The sides of ∠2 are $\overrightarrow{QR}$ and $\overrightarrow{QS}$.

Step3: Recall angle - naming conventions

An angle can be named by the vertex alone (if there is no confusion), by three points with the vertex in the middle, or by a number. For ∠1, other names are ∠RQT and ∠TQR.

Step4: Recall vertex definition

The vertex of an angle is the common endpoint of the rays that form the angle. For ∠SQR, the vertex is Q.

Answer:

(a) $\overrightarrow{QR}$, $\overrightarrow{QS}$
(b) ∠RQT, ∠TQR
(c) Q