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Drawing angles

This page was translated from German with AI. It has not been checked by a native speaker. Original page in German

You draw angles with the set square – with two methods: turning or marking a point.
📄 Open worksheet (PDF, German)

The video

In the video the set square draws \(60^\circ\) with method 1 and \(70^\circ\) with method 2. At the top right a display shows where the ray crosses the scale.

Subtitles are available in ten languages. Choose them at the bottom right of the video.

Contents of the video

  1. 0:00 Introduction
  2. 0:15 Method 1: turning
  3. 1:08 Method 2: marking a point
  4. 1:50 An obtuse angle
  5. 2:20 Which method?
  6. 2:42 Careful, mistake!
  7. 3:16 Try it yourself

The most important points

Method 1: turning (exact)

Draw a ray (der Strahl) with the starting point \(S\). Put the zero point on \(S\), the set square lies below the ray. Turn around the zero point until the ray goes through the number you want. Draw along the drawing edge.

Method 1: an angle of 60^\circ.
Method 1: an angle of \(60^\circ\).

Method 2: marking a point (popular)

Draw a ray. Put the zero point on \(S\) and the drawing edge on the ray. Mark a point \(P\) at the number you want (ray to the right: outer scale). Connect \(S\) and \(P\).

Method 2: an angle of 70^\circ.
Method 2: an angle of \(70^\circ\).

If \(P\) is only 2 mm off, the angle is already about \(2^\circ\) wrong. Method 1 is more exact. And: estimate first! If your \(50^\circ\) angle is obtuse, you took the wrong scale.

Wrong scale: 130^\circ instead of 50^\circ.
Wrong scale: \(130^\circ\) instead of \(50^\circ\).

The worksheet

Here you can see the worksheet for the video (in German). First it explains everything again, then there are practice tasks at three levels. You can also open it as a PDF and print it.

📄 Open worksheet (PDF, German)

The worksheet – Page 1
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The worksheet – Page 2
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The worksheet – Page 3
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The worksheet – Page 4
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The worksheet – Page 5
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Show the worksheet solutions
The worksheet – Page 6
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Try it yourself

Task

Lena wants to draw \(40^\circ\). Her angle is obtuse. How big is it?

Show solution

She took the wrong scale: \(180^\circ - 40^\circ = 140^\circ\).

Keep learning with a language model

You are my maths teacher. I am learning German as a second language. Our topic: drawing angles with the set square (method 1: turning, method 2: marking a point, right scale, estimate first). Ask me five short questions, one after the other. Always wait for my answer. Then tell me if it is right and explain briefly why. Use simple German sentences.

How this was made: The idea, structure and examples of the series are mine. I made them with the help of AI: a language model (LLM) built the slides of the video following my instructions. The voice was generated with Qwen3-TTS, modelled on my own voice.

The subtitles, the translations, the worksheet and this page were also made with the help of AI. The translations have not been checked by native speakers.

The videos, worksheets, texts and prompts in this series are licensed under CC BY 4.0: you may use, change and share them if you name the source.