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<BAO = 30^o, <CBO = 20^o and <ABO =<ACO = 40^o

Source: 2012 Cuba MO 2.9

September 18, 2024
geometryangles

Problem Statement

Let OO be a point interior to triangle ABCABC such that ∠BAO=30o\angle BAO = 30^o, ∠CBO=20o\angle CBO = 20^o and ∠ABO=∠ACO=40o\angle ABO = \angle ACO = 40^o . Knowing that triangle ABCABC is not equilateral, find the measures of its interior angles.
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