AI generatedGeometry and measuresKey Stage 3

Drawing a specified angle

Drawing a specified angle.

  • Use the stated properties and diagram markings, rather than judging by appearance.
  • Matching ticks mean equal lengths; matching arrows mean parallel lines.
  • A small square marks a right angle. Keep labels horizontal and include units.

Example 1

Construct an angle of 20° from the right-pointing ray.

Calibrated measurement diagram0102030405060708090100110120130140150160170180
An angle of 20°.
Calibrated measurement diagram010203040506070809010011012013014015016017018020°

Place the protractor centre on the vertex. Align 0° with the ray, mark the required value and join the vertex to the mark.

Example 2

Construct an angle of 25° from the right-pointing ray.

Calibrated measurement diagram0102030405060708090100110120130140150160170180
An angle of 25°.
Calibrated measurement diagram010203040506070809010011012013014015016017018025°

Place the protractor centre on the vertex. Align 0° with the ray, mark the required value and join the vertex to the mark.

Your turn

Question 1

Construct an angle of 30° from the right-pointing ray.

Calibrated measurement diagram0102030405060708090100110120130140150160170180
Check answer
An angle of 30°.
Calibrated measurement diagram010203040506070809010011012013014015016017018030°

Place the protractor centre on the vertex. Align 0° with the ray, mark the required value and join the vertex to the mark.

Question 2

Construct an angle of 35° from the right-pointing ray.

Calibrated measurement diagram0102030405060708090100110120130140150160170180
Check answer
An angle of 35°.
Calibrated measurement diagram010203040506070809010011012013014015016017018035°

Place the protractor centre on the vertex. Align 0° with the ray, mark the required value and join the vertex to the mark.

Question 3

Construct an angle of 40° from the right-pointing ray.

Calibrated measurement diagram0102030405060708090100110120130140150160170180
Check answer
An angle of 40°.
Calibrated measurement diagram010203040506070809010011012013014015016017018040°

Place the protractor centre on the vertex. Align 0° with the ray, mark the required value and join the vertex to the mark.

Question 4

Construct an angle of 45° from the right-pointing ray.

Calibrated measurement diagram0102030405060708090100110120130140150160170180
Check answer
An angle of 45°.
Calibrated measurement diagram010203040506070809010011012013014015016017018045°

Place the protractor centre on the vertex. Align 0° with the ray, mark the required value and join the vertex to the mark.

Question 5

Construct an angle of 50° from the right-pointing ray.

Calibrated measurement diagram0102030405060708090100110120130140150160170180
Check answer
An angle of 50°.
Calibrated measurement diagram010203040506070809010011012013014015016017018050°

Place the protractor centre on the vertex. Align 0° with the ray, mark the required value and join the vertex to the mark.