Lemmara logoLemmaraWorked solution

0580/22 May/Jun 2026, Question 11: Angles in regular polygons

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 2 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Each interior angle of a regular polygon is 140°. How many sides does it have?

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 2 marks

  1. 1Exterior angle = 180° − 140° = 40°
  2. 2Number of sides = 360 ÷ 40 = 9

Answer9

Stuck on a step? Read the free lesson: Interior and Exterior Angles of Polygons

Practise more angles in regular polygons questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on angles in regular polygons

Also searched as: 0580/22/M/J/26 · 0580_s26_qp_22 · 0580 s26 22 · question 11.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.