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Daily Problem·Wednesday, 2 November 2022Back to today

Interior angle of a regular polygon

11+ · Mathematics · GL · M7 — Geometry — 2D shapes, angles, perimeter, area

Question

A regular polygon has 8 sides. Calculate the size of one interior angle.

Mark scheme (3 marks):

  • Uses correct formula: (n − 2) × 180° ÷ n, or 180° − (360° ÷ n). (1)
  • Correct substitution: (8 − 2) × 180 ÷ 8 = 1080 ÷ 8, or 180 − 45. (1)
  • Final answer: 135°. (1)

3 marks · take your time before peeking.

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Generated by TopMyGrade AI · cross-check official sources before relying on the mark-scheme phrasing.