Question

name the marked angle in 2 different ways.

Explanation:

Step1: Use vertex - based naming

An angle can be named by its vertex. Here the vertex is D, so one way to name the marked angle is $\angle D$.

Step2: Use three - point naming

We can also name the angle using three points where the middle point is the vertex. If we consider points on the two rays forming the angle and the vertex, another way to name the marked angle is $\angle GDF$ (assuming the marked angle is between rays $\overrightarrow{DG}$ and $\overrightarrow{DF}$).

Answer:

$\angle D$, $\angle GDF$