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GeoGebraGeoGebra Classroom

Polygon Angle Theorems: Triangle through Octagon

Do the Activity or Watch the Video at the Bottom

Move the points on each polygon and then use the slide and check boxes to observe the relationships between polygons and their interior and exterior angles. Note that the exterior angles always make a full circle (360 degrees). The polygons follow the formula , where S is the sum of interior angles and n is the number of sides.

Triangle

Quadrilateral

Pentagon

Hexagon

Heptagon

Octagon

Quick Demo (BGM: Andy Meyers)