Exterior Angles of Polygons

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.

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

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. How would you modify the result if the pentagon ABCDE is NOT convex?

Anthony Or. Education Bureau, Hong Kong.


Created with GeoGebraShared by orchiming
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