This looks familiar

Geometry Level pending

In the given figure, let $$ABDE$$ be a square, with $$\angle DEC = \angle EDC = 15^{\circ}$$. Find $$\dfrac{CB}{EC}$$.

Let it be of the form $$\sqrt{a+\sqrt{b}}$$, where $$a,b$$ are square free positive integers. Enter $$(a+b)$$ as your answer.

For a tougher combinatorics problem, see this

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