# Area of a Pentagon!

Geometry Level 4

Let $$S$$ be the area of the convex pentagon $$ABCDE$$ having the following specifications:

• $$AB = BC$$; $$CD = DE$$

• $$BD = 2$$

• $$\angle ABC = 150^\circ$$; $$\angle CDE = 30^\circ$$

Find the value of $$S^2$$.

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