Interior and Exterior angles

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Presentation transcript:

Interior and Exterior angles Angles in a Polygon Interior and Exterior angles

Interior and Exterior angles Angles in a Polygon Interior and Exterior angles Aims Know what the Exterior and Interior angles of a polygon are Be able to find the Exterior and Interior angles Be able to accurately draw a polygon

The pentagon

Interior Angle Exterior Angle

How can you calculate the Interior and Exterior angles Interior Angle Exterior Angle How can you calculate the Interior and Exterior angles when all you know are the number of sides of this regular Pentagon?

Exterior angle = Middle angle = 360 ÷ 5 = 72o Interior Angle Exterior Angle 54o 72o 54o 108o 72o 54o Middle angle =360 ÷ 5 = 72o Interior angle = 180 – 72 = 108o Exterior angle = Middle angle = 360 ÷ 5 = 72o

Your task is to find the size of the Exterior and Interior angles of all these Polygons Heptagon Hexagon Octagon Decagon Nonagon

Exterior and Interior angles of Polygons Hexagon Heptagon Interior angle = 128.6o Exterior angle = 51.4o Interior angle = 120o Exterior angle = 60o Octagon Nonagon Interior angle = 135o Exterior angle = 45o Decagon Interior angle = 140o Exterior angle = 40o Interior angle = 144o Exterior angle = 36o