Question

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

Explanation:

Step1: Recall angle - side relationship

An angle's sides are the rays that form it. For $\angle 2$, the rays are $\overrightarrow{BD}$ and $\overrightarrow{BC}$.

Step2: Recall angle - naming conventions

An angle can be named by the vertex alone (if there is no ambiguity) or by three points with the vertex in the middle. For $\angle 1$, two other names are $\angle ABC$ and $\angle CBA$.

Step3: Recall vertex definition

The vertex of an angle is the common endpoint of the rays that form the angle. For $\angle DBC$, the vertex is $B$.

Answer:

(a) $\overrightarrow{BD}$, $\overrightarrow{BC}$
(b) $\angle ABC$, $\angle CBA$
(c) $B$