Question

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

Explanation:

(a) An angle can be named by its vertex (when unambiguous) or by three points with the vertex in the middle. ∠2 has vertex M, so it can be ∠PMQ or ∠M.
(b) The sides of an angle are the two rays forming it. ∠NMQ is formed by rays MN and MQ.
(c) The vertex of an angle is the common endpoint of its two sides. ∠1 has vertex M.

Answer:

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