10-20-30-40 What Comes Next

Geometry Level 4

In triangle \(ABC\), we have a point \(D\) such that \( \angle DAC = 10^\circ\), \(\angle DCA = 20^\circ\), \(\angle DAB = 30^\circ\) and \(\angle ABC = 40^\circ\). What is \( \angle BDC\)?

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