Geometry & MeasuresKey Facts

Common Polygon Angles

Part of Angles in Polygons · GCSE GCSE Mathematics revision

This key facts covers Common Polygon Angles within Angles in Polygons for GCSE Mathematics. Revise Angles in Polygons in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 3 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 3 of 10 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 10

Practice

12 questions

Recall

3 flashcards

Common Polygon Angles

Polygon Sides (n) Interior Sum Each Interior (regular) Each Exterior (regular)
Triangle 3 180° 60° 120°
Quadrilateral 4 360° 90° 90°
Pentagon 5 540° 108° 72°
Hexagon 6 720° 120° 60°
Octagon 8 1080° 135° 45°
Decagon 10 1440° 144° 36°

Keep building this topic

Read this section alongside the surrounding pages in Angles in Polygons. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Angles in Polygons

What is the sum of the interior angles of a hexagon?

  • A. 540°
  • B. 720°
  • C. 900°
  • D. 360°
1 markfoundation

Explain how the formula (n − 2) × 180° for the sum of interior angles of a polygon is derived.

2 markshigher

Quick Recall Flashcards

Interior Angle Sum
Sum = (n - 2) × 180° for n-sided polygon
Exterior Angle Sum
Always 360° for any polygon

12 questions on Angles in Polygons — practise free

Instant marking, adaptive difficulty, and 3 spaced repetition flashcards. Free until your GCSEs.

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