name the marked angle in 2 different ways.

Explanation:

Step1: Use vertex - based naming

An angle can be named by its vertex. If the vertex is point D and there is only one angle at that vertex, we can name it ∠D.

Step2: Use three - point naming

We can also name the angle using three points. The middle point must be the vertex. So we can name it ∠CDE or ∠EDC.

Answer:

∠D, ∠CDE (or ∠EDC)