Find the Angle #4

Geometry Level 3

In the above figure, \(\angle CAD = 10^\circ, \angle BAC =30^\circ\) , \(\angle DBA = 60^\circ,\) and \(\angle CBD = 20^\circ\). What is the measure of angle \(\angle BDC\) in degrees?

This problem is a part of the set Find the Angle!
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