Geometry · Regular polygons · Symmetry · Concurrency · Inscribed angles
Prove that in the regular octagon \(A_1A_2A_3A_4A_5A_6A_7A_8\) the diagonals \(A_1A_6\), \(A_3A_7\) and \(A_5A_8\) pass through one point.
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Serbian Municipal Competition 2019, high school grade I, category A, problem 3. Organized by the Mathematical Society of Serbia (DMS). Source