Question

use the figure to complete each part.
(a) name the sides of ∠abc.
and
(b) write two other names for ∠2.
and
(c) name the vertex of ∠1.

Explanation:

Step1: Recall the definition of an angle's sides

An angle is formed by two rays with a common endpoint. For \(\angle ABC\), the rays (sides) are \(BA\) and \(BC\).

Step2: Recall the different ways to name an angle

An angle can be named by its vertex (if there is only one angle at that vertex) or by three points (vertex in the middle). For \(\angle2\), since the vertex is \(B\), two other names are \(\angle CBD\) (using three points) and \(\angle B\) (using the vertex, assuming no ambiguity at \(B\) for \(\angle2\) in context).

Step3: Recall the definition of an angle's vertex

The vertex of an angle is the common endpoint of the two rays forming the angle. For \(\angle1\), the vertex is \(B\).

Answer:

(a) \(BA\) and \(BC\)
(b) \(\angle CBD\) and \(\angle B\)
(c) \(B\)