Question

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

Explanation:

Step1: Recall angle - side relationship

An angle is formed by two rays with a common endpoint. For ∠1, the two rays (sides) are $\overrightarrow{BA}$ and $\overrightarrow{BC}$.

Step2: Identify vertex of an angle

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

Step3: Find alternative angle names

We can name an angle in different ways. For ∠CBD, two other names are ∠2 and ∠DBC.

Answer:

(a) Sides of ∠1: $\overrightarrow{BA}$ and $\overrightarrow{BC}$
(b) Vertex of ∠DBA: B
(c) Two other names for ∠CBD: ∠2 and ∠DBC