10-20-30-40 What Comes Next

Geometry Level 4

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

Calvin Lin by Calvin Lin
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