Question

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

Explanation:

(a) The vertex of an angle is the common endpoint of the rays that form the angle. For ∠1, the common endpoint is point M.
(b) The sides of an angle are the two rays that form the angle. For ∠NMQ, the rays are $\overrightarrow{MN}$ and $\overrightarrow{MQ}$.
(c) An angle can be named in different ways. ∠2 can also be named as ∠PMQ or ∠QMP since the vertex is M and the rays are $\overrightarrow{MP}$ and $\overrightarrow{MQ}$.

Answer:

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