Tuesday, 9 September 2014

[Someone asked....] Number of sides of a polygon if the exterior angle is a reflex angle...?

How to find "The number of sides a regular polygon has if its exterior angle is ≥180º?

In the syllabus, we focus on convex polygons.
One of the properties that all convex polygons have would be the sum of Interior and Exterior angles is 180º.
Hence, the size of each exterior angle cannot be more than 180º.

Below are 2 examples of polygons with exterior angles being acute angle and obtuse angle.

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