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Problem of the Week
Problem D
The Angle Isn't Bad

Ewan drew rhombus \(ABCD\). Recall that a rhombus is a quadrilateral with parallel opposite sides, and all four sides of equal length. In Ewan’s rhombus, \(H\) is on \(BC\) in between \(B\) and \(C\), and \(K\) is on \(CD\) in between \(C\) and \(D\), such that \(AB=AH=HK=KA\).

Determine the measure, in degrees, of \(\angle BAD\).