Question

(a) name the vertex of ∠pmn. (b) write two other names for ∠qmp. and (c) name the sides of ∠1. and

Explanation:

Step1: Recall vertex definition

The vertex of an angle is the common endpoint of the rays that form the angle. For ∠PMN, the common endpoint is M.

Step2: Find other angle names

An angle can be named in different ways. For ∠QMP, it can also be named as ∠PMQ (order of rays doesn't matter when naming an angle with three - letter notation) and ∠M (when there is no ambiguity).

Step3: Identify angle sides

The sides of an angle are the rays that form the angle. For ∠1 which is ∠NMQ, the sides are ray MN and ray MQ.

Answer:

(a) M
(b) ∠PMQ, ∠M
(c) Ray MN, Ray MQ