Question

(a) write two other names for ∠1. and (b) name the sides of ∠2. and (c) name the vertex of ∠dbc.

Explanation:

Step1: Recall angle - naming rules

An angle can be named by its vertex letter when there is only one angle at that vertex, or by three - point naming with the vertex in the middle.

Step2: Name ∠1

∠1 can be named as ∠ABC (using three - point naming with B as the vertex) and ∠CBA (also three - point naming with B as the vertex).

Step3: Identify sides of ∠2

The sides of an angle are the two rays that form the angle. For ∠2, the sides are ray BD and ray BC.

Step4: Find the vertex of ∠DBC

The vertex of an angle in three - point naming is the middle letter. For ∠DBC, the vertex is B.

Answer:

(a) ∠ABC, ∠CBA
(b) Ray BD, Ray BC
(c) B