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4024/12 May/Jun 2022, Question 8: Interior and Exterior Angles of Polygons

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

A pentagon has interior angles 110°, 125°, 65°, a° and 95°. Find the value of a.

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

Solution · 3 marks

  1. 1Sum of interior angles = (5 − 2) × 180 = 540°
  2. 2110 + 125 + 65 + 95 = 395
  3. 3a = 540 − 395 = 145

Answer145

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