Question

bd is the bisector of ∠b, and ce is the bisector of ∠c. mark the incenter of △abc.

Explanation:

The incenter of a triangle is the intersection point of its angle bisectors. Given $\overline{BD}$ (bisector of $\angle B$) and $\overline{CE}$ (bisector of $\angle C$), their intersection is the incenter of $\triangle ABC$.

Answer:

The intersection point of $\overline{BD}$ and $\overline{CE}$ is the incenter of $\triangle ABC$.