# 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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