Geometry · Regular polygons · Interior angles · Angles around a point · Isosceles triangle
Problem 5, 2005
An equilateral triangle \(ACG\), a regular pentagon \(CDEFG\) and a regular octagon \(BHIJKLDC\) all meet at the point \(C\), as shown in the figure. Determine the angles of the triangle \(ABC\).
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), izbirno (selection) round 2005, 1. letnik, category A, problem 5. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source