AQA · Mathematics · 8300

GCSE Maths: Constructions: 45 degree angle

Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Constructions: 45 degree angle (Corbettmaths Video 69), 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. What angle is constructed when you construct an equilateral triangle?

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    60°. Each interior angle of an equilateral triangle is 60°.

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

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    Construct a 60° angle first, then bisect it. Bisecting 60° gives 30°.

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

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    Construct a 30° angle, then bisect it. Bisecting 30° gives 15°.

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

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    Construct a 90° angle first, then bisect it. Bisecting 90° gives 45°.

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

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    Construct a 45° angle, then bisect it. Bisecting 45° gives 22.5°.

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

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    Construct two 60° angles adjacent to each other. 60° + 60° = 120°.

  7. What geometric construction creates a perpendicular line (90° angle)?

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    Perpendicular bisector construction, or constructing a right angle using compass arcs.

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