Question

which figure represents the statement bd bisects ∠abc.

Explanation:

Step1: Recall angle - bisector definition

An angle - bisector divides an angle into two equal parts.

Step2: Check each option

In option B, $\angle ABD=\angle DBC$, which means ray $BD$ bisects $\angle ABC$. In option A, the marks on the two sub - angles are not equal, so $BD$ does not bisect $\angle ABC$. In option C, the marks on the two sub - angles are not equal, so $BD$ does not bisect $\angle ABC$. In option D, the marks on the two sub - angles are not equal, so $BD$ does not bisect $\angle ABC$.

Answer:

B.