help for this prob

In triangle $ABC$, $AB=AC,$ $\angle ABC=72^{\circ},$ and segment $\overline{BD}$ bisects $\angle ABC$ with point $D$ on side $\overline{AC}.$ If point $E$ is on side $\overline{BC}$ such that segment $\overline{DE}$ is parallel to side $\overline{DE}$ and point $F$ is on side $\overline{AC}$ such that segment $\overline{EF}$ is parallel to segment $\overline{BD},$ how many isosceles triangles are in the figure shown?