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:

Step1: Identify sides of an angle

An angle's sides are the two rays that form it. For $\angle2$, the rays are $\overrightarrow{QS}$ and the other ray starting from $Q$ that forms $\angle2$. So the sides are $\overrightarrow{QS}$ and $\overrightarrow{Q}$ - (the other ray forming $\angle2$).

Step2: Rename an angle

An angle can be named by the vertex alone (if there is no confusion) or by three - point naming. For $\angle1$, two other names are $\angle TQS$ and $\angle SQT$.

Step3: Identify the vertex of an angle

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

Answer:

(a) $\overrightarrow{QS}$ and the other ray forming $\angle2$
(b) $\angle TQS$ and $\angle SQT$
(c) $Q$