Question

name the marked angle in 2 different ways.

Explanation:

Step1: Use vertex - based naming

We can name the angle using the vertex. When the vertex has only one angle at that point, we can use the single - letter name of the vertex. Here, the vertex of the marked angle is B, so one name is $\angle B$.

Step2: Use three - point naming

We can also name the angle using three points. The middle point must be the vertex of the angle. If we take two points on the rays forming the angle and the vertex in between, we can name the angle. Let's say we take a point on one ray (could be any point on the ray starting from B towards D) and a point on the other ray (any point on the ray starting from B towards C). Using the three - point naming convention, we can name the angle as $\angle EBC$.

Answer:

$\angle B$, $\angle EBC$