Question

(a) name the sides of ∠nmq.
and
(b) write two other names for ∠2.
and
(c) name the vertex of ∠1.

Explanation:

Step1: Recall angle - side definition

An angle is formed by two rays with a common endpoint. For $\angle NMQ$, the two rays are $\overrightarrow{MQ}$ and $\overrightarrow{MN}$.

Step2: Recall angle - naming conventions

An angle can be named by the number assigned to it, by the vertex if it is the only angle at that vertex, or by three - point naming. $\angle 2$ can also be named as $\angle PMQ$ or $\angle QMP$.

Step3: Recall vertex definition

The vertex of an angle is the common endpoint of the rays that form the angle. For $\angle 1$, the vertex is $M$.

Answer:

(a) $\overrightarrow{MQ}$, $\overrightarrow{MN}$
(b) $\angle PMQ$, $\angle QMP$
(c) $M$