Question

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

Explanation:

Step1: Recall angle - naming rules

An angle can be named by the vertex alone (if there is only one angle at that vertex), by three points with the vertex in the middle, or by a number.

Step2: Name ∠1

Since the vertex is M and the rays are MN and MQ, two other names for ∠1 are ∠NMQ and ∠QMN.

Step3: Identify sides of ∠2

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

Step4: Determine vertex of ∠PMQ

The vertex of an angle named with three - letter notation is the middle letter. For ∠PMQ, the vertex is M.

Answer:

(a) ∠NMQ, ∠QMN
(b) MP, MQ
(c) M