Question

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

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Explanation:

Part (a)

Step1: Recall angle side definition

An angle's sides are the two rays forming it. For $\angle TQR$, the vertex is $Q$, so the rays are $\overrightarrow{QT}$ and $\overrightarrow{QR}$.

Step1: Recall angle naming rules

An angle can be named by vertex and two points (one on each ray), or by vertex if unique. $\angle 2$ has vertex $Q$, rays $\overrightarrow{QS}$ and $\overrightarrow{QR}$, so names are $\angle SQR$ and $\angle RQS$.

Step1: Recall vertex definition

The vertex of an angle is the common endpoint of its two rays. For $\angle 1$, the rays meet at $Q$, so vertex is $Q$.

Answer:

$\overrightarrow{QT}$ and $\overrightarrow{QR}$

Part (b)