# Zig, say hello to Zag .....

Geometry Level 5

Inside a square $$ABCD$$ points $$P$$ and $$Q$$ are positioned so that $$DP || QB$$ and $$DP = PQ = QB$$. Of all configurations that satisfy these requirements, what is the minimum possible value of $$\angle ADP$$, (in degrees)?

(This is not an original, but I nevertheless thought it was worth sharing.)

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