Question

What is a name for the marked angle?

Answer 1

Answer:
`\angle BAD`

Reason:

The arc goes from ray AB to ray AD. The two rays join at angle A which is the vertex point. When naming an angle, always use the vertex point in the middle. The order of the other two letters does not matter.

We could name this angle as
`\angle BAD` or
`\angle DAB` to mean the same exact thing. All that matters is that "A" is in the middle.

Ignore point C, and ignore ray AC entirely.

Answer 2

(b) ∠BAD

Explanation:

An angle can be named by the names of three points. The first point is on one of the rays that form the angle; the second point is the vertex; the third point is on the other ray.

Apparently the "marked" angle is identified by the arc extending from ray AB to ray AD. Point A is the vertex of the angle, so one possible name for it is ...

∠BAD

It can also be called

∠DAB