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      Know that the angles on a straight line sum to 180 degrees and use this to solve problems

      Lesson details

      Learning outcome

      I know that the angles on a straight line sum to 180 degrees and use this to solve problems.

      Key learning points

      1. Angles on a straight line have a sum of 180 degrees.
      2. To calculate missing angles you can use addition and subtraction.
      3. Use mental or written strategies to calculate with angles up to 180 degrees.

      Keywords

      • Sum - The sum is the result of adding two or more numbers.

      • Opposite - If something is opposite, it is placed on the other side.

      Common misconception

      Pupils think that the angles on a straight line only applied to lines that are horizontal.

      Ensure pupils are exposed to straight lines in a range of orientations, encouraging them to draw on the 180 degree angle and how this can apply to both sides of the straight line.

      Teacher tip

      You might like to create two straight lines that are joined by a split pin at the centre. Slowly rotate one of the lines around to reveal the angles it creates. Once pupils know the size of one of the angles, they can then identify the other angles by beginning to generalise about opposite angles.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Look at the hands on this clock face and the arrow. The angle formed is __________.

      An image in a quiz
      Correct answer: acute
      a right angle
      obtuse
      reflex

      Q2.
      It is 2 o’clock. Imagine the clock now shows half past two. How has the minute hand turned?

      An image in a quiz
      A quarter turn
      Correct answer: A half turn
      Three-quarter turn
      A full turn

      Q3.
      180° is the same as __________.

      a quarter turn
      Correct answer: a half turn
      Correct answer: two quarter turns
      three quarters turns
      a full turn

      Q4.
      The image is not to scale. The image shows part of a right angle. What is needed to complete the right angle? °

      An image in a quiz
      Correct Answer: 34, 34°

      Q5.
      What is the missing value in this bar model? °

      An image in a quiz
      Correct Answer: 170, 170°

      Q6.
      The image is not to scale. What is the value of missing angle a? a = °

      An image in a quiz
      Correct Answer: 110, 110°

      6 Questions

      Q1.
      The image is not to scale. What is the value of missing angle a? a = °

      An image in a quiz
      Correct Answer: 158, 158°

      Q2.
      The image is not to scale. What is the value of missing angle a? a = °

      An image in a quiz
      Correct Answer: 93, 93°

      Q3.
      The image is not to scale. What is the value of missing angle a? a = °

      An image in a quiz
      Correct Answer: 47, 47°

      Q4.
      The image is not to scale. What is the value of missing angle p? p = °

      An image in a quiz
      Correct Answer: 128, 128°

      Q5.
      The image is not to scale. What is the value of missing angle p? p = °

      An image in a quiz
      Correct Answer: 56, 56°

      Q6.
      The image is not to scale. What is the value of missing angle c? c = °

      An image in a quiz
      Correct Answer: 165, 165°

      To help you plan your 5 maths lesson on: Know that the angles on a straight line sum to 180 degrees and use this to solve problems, download all teaching resources for free and adapt to suit your pupils' needs...