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GeometryMediumOlympiad Geometry

Olympiad Geometry · Medium problem

In △ABC\triangle ABC, ∠B=40∘\angle B = 40^\circ and ∠C=30∘\angle C = 30^\circ. The bisector of ∠A\angle A meets BCBC at DD. Find ∠ADB\angle ADB. (Try the Exterior-Angle Theorem on △ADC\triangle ADC as a check.)