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Regional Olympiad - FBH 2017 Grade 11 Problem 2

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2017

September 19, 2018
geometryisoscelesanglescosine

Problem Statement

Let ABCABC be an isosceles triangle such that AB=ACAB=AC. Find angles of triangle ABCABC if ABBC=1+2cos2π7\frac{AB}{BC}=1+2\cos{\frac{2\pi}{7}}