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Edexcel IGCSE·Maths·IGCSE Higher Mathematics

Angles, Polygons & Circle Theorems

16 min read

Angle rules, interior and exterior angles of polygons, and the full set of circle theorems with how to apply them.

Angle rules

  • Angles on a straight line sum to 180°; around a point, 360°.
  • Vertically opposite angles are equal.
  • With parallel lines: corresponding angles equal (F), alternate angles equal (Z), co-interior angles sum to 180° (C).
  • Angles in a triangle sum to 180°; in a quadrilateral, 360°.

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