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Edexcel IGCSE·Maths·IGCSE Higher Mathematics

Geometry & Circle Theorems

14 min read

Angle rules, interior and exterior angles of polygons, and the circle theorems with the reasons examiners want to see.

Geometry marks are won by quoting the correct reason for each step, not just the number.

Angle facts

  • Angles on a straight line sum to 180∘180^\circ180∘; around a point to 360∘360^\circ360∘.
  • Vertically opposite angles are equal.
  • With parallel lines: corresponding angles equal, alternate angles equal, co-interior angles sum to 180∘180^\circ180∘.

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