MathDB
Angle BDE = 24 degrees, angle CED = 18 degrees

Source: IMO Shortlist 1992, Problem 11

August 13, 2008
trigonometrygeometryLaw of SinesTriangleIMO ShortlistIMO Longlist

Problem Statement

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