AI generatedGeometry and measuresKey Stage 3

Constructing a 60-degree angle

Constructing a 60-degree angle.

  • Use a sharp pencil, ruler and compasses or protractor as specified.
  • Keep the arcs and guide marks that show how the construction was made.
  • Check the required lengths and angles without erasing the construction.

Example 1

Construct a 60° angle at A without a protractor.

Construction: given informationAB
Angle CAB = 60°.
Construction: given informationABC60°

Use AB as the compass radius. Draw arcs centred at A and . Join A to their intersection C. The resulting triangle is equilateral.

Example 2

Construct a 60° angle at A without a protractor.

Construction: given informationAB
Angle CAB = 60°.
Construction: given informationABC60°

Use AB as the compass radius. Draw arcs centred at A and . Join A to their intersection C. The resulting triangle is equilateral.

Your turn

Question 1

Construct a 60° angle at A without a protractor.

Construction: given informationAB
Check answer
Angle CAB = 60°.
Construction: given informationABC60°

Use AB as the compass radius. Draw arcs centred at A and . Join A to their intersection C. The resulting triangle is equilateral.

Question 2

Construct a 60° angle at A without a protractor.

Construction: given informationAB
Check answer
Angle CAB = 60°.
Construction: given informationABC60°

Use AB as the compass radius. Draw arcs centred at A and . Join A to their intersection C. The resulting triangle is equilateral.

Question 3

Construct a 60° angle at A without a protractor.

Construction: given informationAB
Check answer
Angle CAB = 60°.
Construction: given informationABC60°

Use AB as the compass radius. Draw arcs centred at A and . Join A to their intersection C. The resulting triangle is equilateral.

Question 4

Construct a 60° angle at A without a protractor.

Construction: given informationAB
Check answer
Angle CAB = 60°.
Construction: given informationABC60°

Use AB as the compass radius. Draw arcs centred at A and . Join A to their intersection C. The resulting triangle is equilateral.

Question 5

Construct a 60° angle at A without a protractor.

Construction: given informationAB
Check answer
Angle CAB = 60°.
Construction: given informationABC60°

Use AB as the compass radius. Draw arcs centred at A and . Join A to their intersection C. The resulting triangle is equilateral.