Angles in Polygons: Fill in the gaps

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Presentation transcript:

Angles in Polygons: Fill in the gaps Silent Teacher Intelligent Practice Narration Your Turn Practice

What is the total of the interior angles of a 9- sided shape? Worked Example Your Turn What is the total of the interior angles of a 9- sided shape? What is the total of the interior angles of a 14- sided shape? Calculate the size of an interior angle in a regular octagon Calculate the size of an interior angle in a regular pentagon A regular polygon has an exterior angle of 12°. How many sides does it have? A regular polygon has an exterior angle of 10°. How many sides does it have?

3 360° 90° Octagon 45° Hexadecagon 2520° Pentadecagon 15 156° 72° 720° Name Number of angles Sum of interior angles Size of one interior angle in a regular polygon Size of one exterior angle in a regular polygon 3 360° 90° Octagon 45° Hexadecagon 2520° Pentadecagon 15 156° 72° 720° 120° 12 1620° 360 11

Triangle 3 180° 60° 120° Quadrilateral 4 360° 90° Octagon 8 1080° 135° Name Number of angles Sum of interior angles Size of one interior angle in a regular polygon Size of one exterior angle in a regular polygon Triangle 3 180° 60° 120° Quadrilateral 4 360° 90° Octagon 8 1080° 135° 45° Hexadecagon 16 2520° 157.5° 22.5° Pentadecagon 15 2340° 156° 24° Pentagon 5 540° 108° 72° Hexagon 6 720° Dodecagon 12 1800° 150° 30° Hendecagon 11 1620° 1620° 11 360 11