Question

name the given angle. a b c ∠ find three ways to name this angle.

Explanation:

Step1: Recall angle - naming rules

An angle can be named using the vertex letter when there is only one angle at the vertex, or by using three points with the vertex in the middle.

Step2: Identify the vertex and points

The vertex of the angle is point C, and the other two points on the rays are A and B.

Step3: Name the angle

The three ways to name the angle are $\angle BCA$, $\angle ACB$, $\angle C$.

Answer:

$\angle BCA$, $\angle ACB$, $\angle C$