In triangle \(ABC\), \(D\) is a point on \(AC\) such that \( AD = DC \) and \( \angle BDC \neq 90^\circ \). Given that \( \angle DCB = 25 ^ \circ \) and \( \angle DBA = 65^\circ \), what is the measure (in degrees) of \( \angle BDC \)?

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