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Exterior Angles Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Exterior angle of a polygon
The angle formed between one side of a polygon and the extension of an adjacent side.
Sum of exterior angles of any polygon
The sum of the exterior angles of any polygon is always 360°.
Exterior angle of a regular polygon
The exterior angle of a regular polygon is calculated as 360° divided by the number of sides.
Relationship between interior and exterior angles
Interior angle + Exterior angle = 180° (on a straight line).
Exterior angle of a triangle
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Exterior angle formula for regular polygons
Exterior angle = 360° ÷ n, where n is the number of sides.
Exterior angle of a square
The exterior angle of a square is 90° (360° ÷ 4).
Exterior angle of a hexagon
The exterior angle of a regular hexagon is 60° (360° ÷ 6).
Exterior angle of an octagon
The exterior angle of a regular octagon is 45° (360° ÷ 8).
Using exterior angles to find the number of sides
Number of sides = 360° ÷ Exterior angle (for regular polygons).

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