Angles in a Hexagon: Exploring Interior Angles and Prism Connections

① This GeoGebra example dynamically displays the interior angles of a hexagon (ABCDEF) and relates them to angles in a prism, illustrating the connection between polygon angles and solid geometry concepts like dihedral angles or lateral face angles. ② Core mathematical concepts include the polygon interior angle sum theorem (hexagon sum = 720°), angle measurement, and the geometric relationship between polygons and prisms, with extensions to sine and combinatorics. ③ Construction highlights: the Polygon command creates hexagon poly1 with vertices A, B, C, D, E, F; the Angle command marks interior angles α, β, γ, δ, ε, ζ, plus additional angles η, θ, ι, κ possibly for diagonals or exterior angles; objects include sides a, b, c, d, e, f for dynamic adjustment. ④ Suitable for middle school to high school students learning polygon properties, angle concepts, and introductory solid geometry, as well as for teacher demonstrations or student self-exploration of angle relationships in prisms.