Let's practise


Calculate the size of angle m.
m =°

  • Read the question and then read it again. What is it asking you to do?
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It is asking you to calculate the size of angle m.

  • Can you estimate the size of angle m?
    Look at the diagram carefully and write in any angles that you do know.
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Angle m is greater than 180°.

The symbol here means 90°.

  • What else do you notice in the diagram? Where do the angles meet?
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The angles meet at a point to show one whole turn.

  • What do you know about angles that meet at a point?
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The angles add to 360°, so:
m + 90° + 35° = 360°

  • What can you now say about angle m?
    Think about the calculations that you can use to help you.
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m = 360° – 90° – 35°
OR
m = 360° – 125°

  • What is your answer?
    Check your working.
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Angle m = 235°
235° + 125° = 360°, which makes a whole turn.
Your estimate was also greater than 180°.