AQA · Mathematics · 8300

GCSE Maths: Constructions: 60 degree angle

Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Constructions: 60 degree angle (Corbettmaths Video 70), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.

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  1. How can you construct a 60° angle using only a compass and ruler?

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    Construct an equilateral triangle — all its interior angles are 60°.

  2. How can you construct a 30° angle using only a compass and ruler?

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    Construct a 60° angle, then bisect it.

  3. How can you construct a 90° angle using only a compass and ruler?

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    Use the perpendicular bisector construction to create a right angle.

  4. How can you construct a 120° angle using only a compass and ruler?

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    Construct a 60° angle, then extend one ray backwards to form the supplementary angle (180° - 60° = 120°).

  5. How can you construct a 45° angle using only a compass and ruler?

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    Construct a 90° angle, then bisect it.

  6. How can you construct a 15° angle using only a compass and ruler?

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    Construct a 30° angle, then bisect it. (Or construct 60°, bisect to get 30°, then bisect again.)

  7. How can you construct a 22.5° angle using only a compass and ruler?

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    Construct a 45° angle, then bisect it.

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