S.2 Ch.8 Exterior Angle of Polygon

Alexander Lau, smcemath, Sep 24, 2015

Table of Contents

  1. Exterior angle of a triangle
    1. Exterior Angles of Polygons (Updated with Negative Angles)
    2. Sum of exterior angles of a polygon

1.

Exterior angle of a triangle

  • 1. Exterior Angles of Polygons (Updated with Negative Angles)
  • 2. Sum of exterior angles of a polygon

1.1.

Exterior Angles of Polygons (Updated with Negative Angles)

[b]Click the "▶" button. Observe the angles turned by the car at the corners. Drag the green points. Check the "Show Measurement" box to see the measurements of the angles.[/b]

[b]1. What is a + b + c + d + e, the total angles turned by the car? 2. a, b, c, d, e are called the exterior angles of the convex pentagon ABCDE. 　　In general, what is the sum of all exterior angles of a convex polygon? 3. Is the result still true if the pentagon ABCDE is NOT convex? [/b] Anthony Or. GeoGebra Institute of Hong Kong.
– Anthony OR 柯志明

1.2.

Sum of exterior angles of a polygon

Reduce the size of the polygon and see what happens to the angles
– rm11821

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