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