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Sum of Interior Angles of a Pentagon by Paige Williamson

Sum of Interior Angles of a Pentagon by Paige Williamson
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2017-03-18 00:09
PolygonAngleGeometric Construction
In collections Angle Relationships and Polygons
This example demonstrates the calculation of the sum of interior angles of a pentagon. The key mathematical concepts include the formula for the sum of interior angles of a polygon. By using the Polygon command to construct a pentagon and the Angle command to measure each interior angle, the example ultimately shows that the sum of the interior angles of a pentagon is 360 degrees. Suitable for middle school and above students to learn polygon geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E) → poly1, a, b, c, d, e
  2. Angle(D, C, B) → α
  3. Angle(C, B, A) → β
  4. Angle(B, A, E) → γ
  5. Angle(A, E, D) → δ
  6. Angle(E, D, C) → ε