Question

look at this angle: name this angle in three different ways: and and

Explanation:

Step1: Use vertex - based naming

An angle can be named by its vertex when there is only one angle at that vertex. So we can name it $\angle G$.

Step2: Use three - point naming

We can name the angle using three points where the middle point is the vertex. So $\angle EGF$ and $\angle FGE$ are valid names.

Answer:

$\angle G$, $\angle EGF$, $\angle FGE$