Question

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

Explanation:

Step1: Recall vertex definition

A vertex of an angle is the common endpoint of the rays forming the angle. For \(\angle DBA\), the common endpoint is \(B\).

Step2: Rename \(\angle CBD\)

An angle can be named by its vertex (if there is only one angle at that vertex) or by three points with the vertex in the middle. At vertex \(B\), \(\angle CBD\) can also be named \(\angle 2\) (if it's labeled as such in the figure's context) and \(\angle DBC\) (using three - point notation).

Step3: Identify sides of \(\angle1\)

The sides of an angle are the two rays that form the angle. For \(\angle1\), the rays are \(BA\) and \(BC\).

Answer:

(a) \(B\)
(b) \(\angle2\) and \(\angle DBC\)
(c) \(BA\) and \(BC\)