0580/12 May/Jun 2026, Question 17: Interior and Exterior Angles of Polygons
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 3 marks
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The question, in short
Find a missing triangle angle from 100° and 30°, then find one interior angle of a regular 10-sided polygon.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Given two angles of a triangle are 100° and 30°, determine the remaining angle.
- 1180 − 100 − 30 = 50°
Answer50
Part (b) · 2 marks
Determine the size of a single interior angle in a regular polygon with 10 sides.
- 1Exterior angle = 360 ÷ 10 = 36°
- 2Interior angle = 180 − 36 = 144°
Answer144
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Also searched as: 0580/12/M/J/26 · 0580_s26_qp_12 · 0580 s26 12 · question 17.
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