Quadrilaterals with adjacent sides equal

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Given a quadrilateral $ABCD$ with $AB=AD=10$ and $BC=CD=5$, which of the following can be a value of the angle $\angle BAD$?

(A) 45

(B)60

(C) 75

(D) 90

(E)122.5

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An illustration why we don't have a fixed value for $\angle BAD$ enter image description here