Question

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

Explanation:

Step1: Recall angle - naming conventions

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

Step2: Answer part (a)

For $\angle CBD$, two other names are $\angle 2$ and $\angle DBC$.

Step3: Answer part (b)

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

Step4: Answer part (c)

The sides of an angle are the two rays that form the angle. For $\angle 1$, the sides are $\overrightarrow{BA}$ and $\overrightarrow{BC}$.

Answer:

(a) $\angle 2$ and $\angle DBC$
(b) $B$
(c) $\overrightarrow{BA}$ and $\overrightarrow{BC}$