Question

(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: Rename \(\angle2\)

An angle can be named by its vertex (if there is no ambiguity) or by three - point notation. For \(\angle2\), since the vertex is \(B\), two other names are \(\angle DBC\) (using three - point notation with the vertex \(B\) in the middle) and \(\angle B\) (using the vertex name, assuming no other angles at \(B\) would cause confusion).

Step3: Identify the vertex of \(\angle1\)

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) \(\angle DBC\) and \(\angle B\)
(c) \(B\)