Your learning objective is to discover the relationship between the exterior angles of a polygon and develop a way to extend your understanding to all regular polygons.
What seems to be true about a triangle's exterior angles? Describe what you see.
Suppose the [b][color=#1e84cc]blue angle measures 130 degrees[/color][/b] and the [color=#ff00ff][b]pink angle measures 150 degrees[/b][/color]. [br][b][color=#9900ff][br]Predict what the measure of the purple angle be? [/color][/b]
[b][color=#0000ff]Note:[/color][/b][br]For the polygons that follow (quadrilateral, pentagon, hexagon), these applets will work best if the polygon is kept [b]CONVEX[/b]. If you don't remember what this term means, [url=https://www.geogebra.org/m/knnPDMR3]click here for a refresher[/url].
What seems to be true about a quadrilateral's exterior angles? Describe what you see.
Suppose the [b][color=#1e84cc]blue angle measures 110 degrees[/color][/b] and the [b][color=#ff00ff]pink angle measures 120 degrees[/color] [/b]and the [b][color=#38761d]green angle measures 60 degrees[/color][/b]. [br][b][color=#9900ff][br]What will the measure of the purple angle be? [/color][/b]
What can we conclude about a pentagon's 5 exterior angles? What can we conclude about a hexagon's 6 exterior angles? Describe the phenomena you observed.
Consider the regular pentagon below. Use the diagram to look at this relationship.