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<ABD =<DBE=<EBC, <ACD=<DCE=<ECB - Greece Juniors 1986 p3

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September 13, 2024
geometryangles

Problem Statement

Inside a triangle ABC, consider points D,ED, E such that ∠ABD=∠DBE=∠EBC\angle ABD =\angle DBE=\angle EBC and ∠ACD=∠DCE=∠ECB\angle ACD=\angle DC E=\angle ECB. Calculate angles ∠BDE\angle BDE, ∠BEC\angle B EC, ∠DEC\angle D E C in terms of the angle of the triangle ABCABC.
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