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Regional Olympiad - FBH 2014 Grade 9 Problem 3

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2014

September 24, 2018
geometrycircumcircle

Problem Statement

In triangle ABCABC (b≥c)(b \geq c), point EE is the midpoint of shorter arc BCBC. If DD is the point such that EDED is the diameter of circumcircle ABCABC, prove that ∠DEA=12(β−γ)\angle DEA = \frac{1}{2}(\beta-\gamma)
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