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Measuring angles

Use a protractor to measure angles to the nearest five degrees.

Practice + answer key · 3 pages

Worksheet settings6 questions · 2 columns · A4
Angle measures

Choose an interval containing a multiple of 5°. Diagrams must keep their original aspect ratio.

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mathsprig-1
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b58a4bc8
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2 pages
Measuring anglesMeasuring angles. Practice. Measure the marked angle to the nearest 5° using a protractor. Measure the marked angle to the nearest 5° using a protractor. Measure the marked angle to the nearest 5° using a protractor. Measure the marked angle to the nearest 5° using a protractor.Name __________________________Date _______________Measuring anglesMeasure each angle to the nearest 5°.Worked exampleA ray aligns with the 65° tick when the other ray is at 0°. → 65°Read the scale that starts at the aligned zero.1.Measure the marked angle to thenearest 5° using a protractor.An accurately drawn angle with a horizontal starting ray. Use a protractor; preserve the diagram aspect ratio.2.Measure the marked angle to thenearest 5° using a protractor.An accurately drawn angle with a horizontal starting ray. Use a protractor; preserve the diagram aspect ratio.3.Measure the marked angle to thenearest 5° using a protractor.An accurately drawn angle with a horizontal starting ray. Use a protractor; preserve the diagram aspect ratio.4.Measure the marked angle to thenearest 5° using a protractor.An accurately drawn angle with a horizontal starting ray. Use a protractor; preserve the diagram aspect ratio.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 2mathsprig-1 · mathsprig-v1 · b58a4bc8
Measuring anglesMeasuring angles. Practice. Measure the marked angle to the nearest 5° using a protractor. Measure the marked angle to the nearest 5° using a protractor.Name __________________________Date _______________Measuring anglesMeasure each angle to the nearest 5°.5.Measure the marked angle to thenearest 5° using a protractor.An accurately drawn angle with a horizontal starting ray. Use a protractor; preserve the diagram aspect ratio.6.Measure the marked angle to thenearest 5° using a protractor.An accurately drawn angle with a horizontal starting ray. Use a protractor; preserve the diagram aspect ratio.MathSprig · mathsprig.site · support@mathsprig.sitePage 2 of 2mathsprig-1 · mathsprig-v1 · b58a4bc8
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Practice + answer key · 3 pages

Geometry

What you’ll practice

Measure an angle with a protractor using the correct scale.

Put the center of your protractor on the vertex and line up zero with the horizontal ray. Follow the scale from that zero to the other ray.

How this skill works

Keep the center mark at the exact vertex.

Read from zero along the horizontal ray to the other ray. Check whether the result should be acute or obtuse before choosing between two protractor scales.

Worked example

A ray aligns with the 65° tick when the other ray is at 0°.
  1. Read the scale that starts at the aligned zero.
  2. The sloping ray is at 65° on that scale.
  3. The angle is acute, which agrees with 65°.

Answer: 65°

Teaching notes

  • Print at a uniform scale; stretching a diagram differently in each direction changes its angle.
Practice questions
  1. Measure the marked angle to the nearest 5° using a protractor.

    An accurately drawn angle with a horizontal starting ray. Use a protractor; preserve the diagram aspect ratio.

  2. Measure the marked angle to the nearest 5° using a protractor.

    An accurately drawn angle with a horizontal starting ray. Use a protractor; preserve the diagram aspect ratio.

  3. Measure the marked angle to the nearest 5° using a protractor.

    An accurately drawn angle with a horizontal starting ray. Use a protractor; preserve the diagram aspect ratio.

  4. Measure the marked angle to the nearest 5° using a protractor.

    An accurately drawn angle with a horizontal starting ray. Use a protractor; preserve the diagram aspect ratio.

  5. Measure the marked angle to the nearest 5° using a protractor.

    An accurately drawn angle with a horizontal starting ray. Use a protractor; preserve the diagram aspect ratio.

  6. Measure the marked angle to the nearest 5° using a protractor.

    An accurately drawn angle with a horizontal starting ray. Use a protractor; preserve the diagram aspect ratio.

Answers and steps
  1. 110°
    1. Align the protractor centre with the vertex and zero with the horizontal ray. Read 110° on the scale that starts there.
  2. 105°
    1. Align the protractor centre with the vertex and zero with the horizontal ray. Read 105° on the scale that starts there.
  3. 100°
    1. Align the protractor centre with the vertex and zero with the horizontal ray. Read 100° on the scale that starts there.
  4. 135°
    1. Align the protractor centre with the vertex and zero with the horizontal ray. Read 135° on the scale that starts there.
  5. 165°
    1. Align the protractor centre with the vertex and zero with the horizontal ray. Read 165° on the scale that starts there.
  6. 105°
    1. Align the protractor centre with the vertex and zero with the horizontal ray. Read 105° on the scale that starts there.