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In triangle ABCABCABC, ∠A=20∘\angle A = 20^\circ ∠A=20∘ and ∠B=80∘\angle B = 80^\circ∠B=80∘. Let DDD be a point on line segment ABABAB such that AD=BCAD = BCAD=BC. What is the measure (in degrees) of ∠ADC \angle ADC∠ADC?
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