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Sum of Exterior Angles of a Convex Polygon

Sum of Exterior Angles of a Convex Polygon
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2012-05-30 17:05
PolygonAngleGeometric Construction
In collections Angles in polygons
This example demonstrates the sum of exterior angles of a convex polygon. Key mathematical concepts include the properties of exterior angles in polygons. Using GeoGebra commands such as Polygon, Angle, and Ray, one can construct a convex polygon and observe the characteristics of its exterior angle sum. Suitable for students at the junior high school level and above, focusing on polygon geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, n) → poly1, a_1, i, j, k, C, D, E, F, G, H, I, b_1, J, K, L, a_2, c, d, e, f, g, h
  2. Angle((4.380000000000001, 2.02), C, B) → λ
  3. Angle(C, B, A) → μ
  4. Ray(C, B) → l
  5. Ray(B, A) → m
  6. Point(l) → M
  7. Point(m) → N
  8. Angle(A, B, M) → a
  9. Angle(L, A, N) → b