AQA · Mathematics · 8300

GCSE Maths: Constructions: 90 degree angle

Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Constructions: 90 degree angle (Corbettmaths Video 71), 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 straightedge?

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    Construct an equilateral triangle; each interior angle is 60°.

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

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    Construct a 60° angle, then bisect it to create 30°.

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

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    Construct a perpendicular bisector of a line segment.

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

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    Construct a 60° angle and extend one arm to form the supplementary angle (180° - 60° = 120°).

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

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    Construct a 90° angle, then bisect it to create 45°.

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

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    Construct a 30° angle, then bisect it to create 15°. (Alternatively: bisect a 60° angle to get 30°, then bisect the 30° angle.)

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

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    Construct a 45° angle, then bisect it to create 22.5°. (Alternatively: bisect a 90° angle to get 45°, then bisect the 45° angle.)

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