Question

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

Explanation:

Step1: Recall vertex definition

The vertex of an angle is the common - point of the two rays that form the angle. For ∠1, the common point of the two rays is M.

Step2: Recall side - of - angle definition

The sides of an angle are the two rays that form the angle. For ∠NMQ, the two rays are $\overrightarrow{MN}$ and $\overrightarrow{MQ}$.

Step3: Recall angle - naming rules

An angle can be named by the vertex (when there is no confusion), or by three points with the vertex in the middle. For ∠2, two other names are ∠PMQ and ∠QMP.

Answer:

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