Question

use the figure to complete each part.
(a) name the sides of $\angle nmq$.
\boxed{} and \boxed{}
(b) write two other names for $\angle 2$.
\boxed{} and \boxed{}
(c) name the vertex of $\angle 1$.
\boxed{}

Explanation:

(a) An angle's sides are the two rays forming it. For $\angle NMQ$, the rays start at vertex $M$ and go to $N$ and $Q$.
(b) An angle can be named by its vertex (when no other angles share the vertex) or by three points (vertex in the middle). $\angle 2$ has vertex $M$, so it can be named $\angle PMQ$ or $\angle M$.
(c) The vertex of an angle is the common endpoint of its two sides. $\angle 1$ has sides meeting at $M$.

Answer:

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