Question

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

Explanation:

Step1: Recall angle - naming rules

An angle can be named by three points with the vertex in the middle or by the vertex alone if there's no confusion.

Step2: Answer part (a)

$\angle PMQ$, $\angle QMP$ are two names for $\angle 2$.

Step3: Answer part (b)

The sides of $\angle NMQ$ are $\overrightarrow{MN}$ and $\overrightarrow{MQ}$.

Step4: Answer part (c)

The vertex of $\angle 1$ is $M$.

Answer:

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