Question

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

Explanation:

(a) The vertex of an angle is the common endpoint of its two sides. For $\angle PMQ$, the common endpoint is point $M$.
(b) $\angle 2$ is formed by two rays starting at $M$: one going to $P$ and one going to $Q$, so its sides are these two rays.
(c) $\angle 1$ can be named by its vertex (when no ambiguity exists) or by the three points that define it (with the vertex in the middle).

Answer:

(a) $M$
(b) $\overrightarrow{MP}$ and $\overrightarrow{MQ}$
(c) $\angle QMN$ and $\angle NMQ$