Question

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

Explanation:

Step1: Recall angle - naming rules

An angle can be named by the vertex alone (if there is no ambiguity), by three points with the vertex in the middle, or by a number or letter assigned to the angle.

Step2: Answer part (a)

For $\angle CBD$, two other names are $\angle 2$ and $\angle DBC$ since the vertex is $B$ and the rays are $BC$ and $BD$.

Step3: Answer part (b)

The vertex of an angle is the common endpoint of the two 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) $\angle 2$, $\angle DBC$
(b) $B$
(c) $\overrightarrow{BA}$, $\overrightarrow{BC}$