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Edexcel ·Mathematics·Cambridge IGCSE Mathematics

Geometry: Angles, Polygons & Circle Theorems

15 min read

Angle facts, angles in parallel lines, interior and exterior angles of polygons, and the circle theorems.

Angle facts

    Angles on a straight line sum to 180°180°180°; angles at a point sum to 360°360°360°.
    Vertically opposite angles are equal.
    In parallel lines: corresponding angles (F-shape) are equal, alternate angles (Z-shape) are equal, and co-interior angles (C-shape) sum to 180°180°180°.

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