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# help for this prob

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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?

Feb 12, 2021