Question

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

Explanation:

Step1: Recall angle - naming rules

An angle can be named by the vertex alone (if there is no confusion), by three points with the vertex in the middle, or by a number. For ∠2, since the vertex is B, two other names are ∠CBD and ∠DBC.

Step2: Recall angle - side definition

The sides of an angle are the two rays that form the angle. For ∠ABC, the sides are ray BA and ray BC.

Step3: Recall vertex definition

The vertex of an angle is the common endpoint of the two rays that form the angle. For ∠1, the vertex is B.

Answer:

(a) ∠CBD and ∠DBC
(b) Ray BA and Ray BC
(c) B