AQA · Mathematics · 8300
GCSE Maths: Constructions: 30 degree angle
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Constructions: 30 degree angle (Corbettmaths Video 68), 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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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°.
How can you construct a 90° angle using only a compass and straightedge?
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Construct the perpendicular bisector of a line segment; it forms a 90° angle with the original line.
How can you construct a 30° angle using only a compass and straightedge?
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Construct a 60° angle, then bisect it to get 30°.
How can you construct a 120° angle using only a compass and straightedge?
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Construct two adjacent 60° angles (using equilateral triangles), giving 60° + 60° = 120°.
How can you construct a 45° angle using only a compass and straightedge?
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Construct a 90° angle, then bisect it to get 45°.
How can you construct a 15° angle using only a compass and straightedge?
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Construct a 30° angle, then bisect it to get 15°. (Alternatively: bisect a 60° angle to get 30°, then bisect that.)
How can you construct a 22.5° angle using only a compass and straightedge?
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Construct a 45° angle, then bisect it to get 22.5°.
All interior angles of an ? triangle are 60°.
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equilateral
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