Question

use the figure to complete each part.
(a) name the vertex of \\( \angle p m q \\).
(b) name the sides of \\( \angle 2 \\)
and
(c) write two other names for \\( \angle 1 \\).
and

Explanation:

(a) Vertex of ∠PMQ

A vertex is the common endpoint of two rays forming an angle. In ∠PMQ, the common endpoint is \(M\).

(b) Sides of ∠2

The sides of an angle are the two rays that form it. For ∠2, the rays are \(MP\) and \(MQ\).

(c) Other names for ∠1

An angle can be named using three points (with the vertex in the middle) or by its vertex if there's no ambiguity. Here, ∠1 can also be named as ∠NMQ or ∠QMN.

Answer:

(a) \(M\)
(b) \(MP\) and \(MQ\)
(c) \(∠NMQ\) and \(∠QMN\)