Question

I just need to know the angle

Answer 1

Answer:  $\angle DBC$  (choice b)

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Explanation:

When naming any angle, you need 3 points. The middle point is the vertex of the angle. The other two points can be in any order as long as they are on the lines or rays that we want.

We go for angle DBC, which we can write as $\angle DBC$, since B is at the vertex and points D and C are on either side of the vertex.

Angle ABD is adjacent to the marked angle, but it's not what we're after.

Angle BDC isn't drawn, so we cross this off the list as well.

Saying $\angle B$ is too vague in this context because it could mean either $\angle ABD$ or it could mean $\angle DBC$ since they both share the same vertex B.

Answer 2

Answer: B. DBC

Step-by-step explanation: