4024/23 May/Jun 2026, Question 3: Interior and Exterior Angles of Polygons
Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 4 marks
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The question, in short
A hexagon has three given interior angles of 110°, 140° and 150°; the remaining three are in the ratio 2 : 3 : 5. Calculate the largest angle.
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Solution · 4 marks
- 1Sum of interior angles = (6 − 2) × 180 = 720°
- 2Remaining = 720 − (110 + 140 + 150) = 320°
- 3One part = 320 ÷ (2 + 3 + 5) = 32°
- 4Largest = 5 × 32 = 160°
Answer160
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