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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