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Edexcel IGCSE Math A Higher 4.2.D regular polygons

Edexcel IGCSE Math A Higher 4.2.D regular polygons
Edexcel IGCSE Math A syllabusMath A 4MA1First assessment 2018

Practise regular-polygon questions by linking each exterior angle to 360 degrees and each interior angle to its supplement.

How this is tested

  • Find the number of sides from an exterior angle by dividing 360 degrees.
  • Use interior and exterior angle relationships to form and solve equations.
  • Calculate n for a regular polygon when the angle information is given algebraically.

Question 12

Diagram NOT accurately drawn

Diagram NOT accurately drawn

The diagram shows part of a regular n-sided polygon with
an interior angle of (9x+27)(9 x+27)^{\circ}
an exterior angle of (2x23)(2 x-23)^{\circ}
Work out the value of n

n=