Bisecting a triangle

Geometry Level 2

In triangle \(ABC\), \( \angle ABC = 30^\circ , \angle ACB = 60^\circ\). \(D\) is a point in triangle \(ABC\) such that \( DB\) and \(DC\) bisect angles \( ABC\) and \(ACB\) respectively. What is the measure (in degrees) of \( \angle BDC\)?

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