Maths Olympiad Prep

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CEMC Gauss (Grade 8), 2002

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

In the diagram, ∠ABD=∠BDC\angle ABD = \angle BDC and ∠DAB=80∘\angle DAB = 80^\circ. Also, AB=ADAB = AD and DB=DCDB = DC. The measure of ∠BCD\angle BCD is

(A) 65∘65^\circ (B) 50∘50^\circ (C) 80∘80^\circ (D) 60∘60^\circ (E) 70∘70^\circ

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