# A 30˚ angle inside an Equilateral Triangle

Geometry Level 3

Let $$P$$ be the center of equilateral triangle $$ABC$$. Points $$D$$ and $$E$$ are on $$\overline{BC}$$ such that $$\angle DPE=30^\circ$$. If $$BD=5$$ and $$DE=7$$, find $$EC$$.

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