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 ∠dbc.

Explanation:

Step1: Recall angle - naming rules

An angle can be named by its vertex if it is the only angle at the vertex, or by three points with the vertex in the middle. For ∠1, the vertex is B.

Step2: Name ∠1 in two other ways

∠ABC and ∠CBA are two other names for ∠1.

Step3: Recall side - of - an - angle concept

The sides of an angle are the two rays that form the angle. For ∠2 with vertex B, the rays are $\overrightarrow{BC}$ and $\overrightarrow{BD}$.

Step4: Recall vertex - of - an - angle concept

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

Answer:

(a) ∠ABC and ∠CBA
(b) $\overrightarrow{BC}$ and $\overrightarrow{BD}$
(c) B