Question

name the marked angle in 2 different ways.

Explanation:

Step1: Identify the vertex and sides

The marked angle has vertex \( D \), and its sides are \( DG \) and \( DE \). So one way to name it is using the vertex and the two points on the sides: \( \angle GDE \).

Step2: Use the vertex alone (if unique)

Since at vertex \( D \), this angle is between \( DG \) and \( DE \), we can also name it by its vertex: \( \angle D \) (assuming there's no ambiguity, but in this case, the marked angle is clearly the one between \( DG \) and \( DE \) at \( D \)).

Answer:

\( \angle GDE \) and \( \angle D \) (or other valid names like \( \angle EDG \) as long as the order of points around the vertex is correct)