Question

use the figure to complete each part. (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 just by the vertex if there is no confusion.

Step2: Answer (a)

$\angle 2$ can also be named $\angle QMP$ and $\angle PMQ$.

Step3: Answer (b)

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

Step4: Answer (c)

Vertex of $\angle 1$ is $M$.

Answer:

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