In a triangle ABC, let D and E be the intersections of the bisectors of ∠ABC and ∠ACB with the sides AC,AB, respectively. Determine the angles ∠A,∠B,∠C if \angle BDE \equal{} 24 ^{\circ}, \angle CED \equal{} 18 ^{\circ}. trigonometrygeometryLaw of SinesTriangleIMO ShortlistIMO Longlist