Geometry · Dissections · Polygon angles · Convexity · Extremal construction
Determine the largest possible value of \(n\) for which there exists a convex \(n\)-gon that can be decomposed into a disjoint union of triangles, each of which is either right isosceles or right-angled with acute angles \(15^\circ\) and \(75^\circ\).
(Two triangles are called disjoint when they have no interior point in common.)
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Serbian National Competition (Drzavno takmicenje) 2022, high school grade I, category A, problem 4. Organized by the Mathematical Society of Serbia (DMS). Source