Question

(a) name the vertex of ∠pmn. m (b) write two other names for ∠qmp. ∠2 and ∠pmq (c) name the sides of ∠1. mq and mn try again

Explanation:

Step1: Recall vertex - angle relationship

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

Step2: Recall angle - naming conventions

An angle can be named by the number assigned to it or by reversing the order of the non - vertex points with the vertex in the middle. So $\angle QMP$ can also be called $\angle 2$ (if it is labeled as such) and $\angle PMQ$.

Step3: Identify angle sides

The sides of an angle are the rays that form the angle. For $\angle 1$, the rays are $\overrightarrow{MQ}$ and $\overrightarrow{MN}$.

Answer:

(a) $M$
(b) $\angle 2$ and $\angle PMQ$
(c) $\overrightarrow{MQ}$ and $\overrightarrow{MN}$