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mathsConstruction / Practical Geometry (basics)Standard angles Using Campus

### Constructing 120^@ using a compass

In this page, a short and to-the-point overview of constructing 120^@ angle using a compass is provided.

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Which of the following help to construct 120^@ angle using a compass?

• construct 60^@ on top of another 60^@ angle. Both together form 120^@
• construct 60^@ on top of another 60^@ angle. Both together form 120^@
• 120^@ angle cannot be constructed using a compass

The answer is "construct 60^@ on top of another 60^@ angle. Both together form 120^@"

Constructing 60^@ angle twice-over to construct 120^@  •  With an arbitrary distance-measure on compass, mark point P from point A on line bar(AB).

•  With the same distance measure on compass, construct two arcs from points A and P. The arcs cut at point Q. bar(AQ) makes 60^@ with the bar(AP).

•  With the same distance measure on compass, construct two arcs from points A and Q. The arcs cut at point R. bar(AR) makes 120^@ with the bar(AP). The angle 120^@ is constructed as /_PAR.

Constructing 120^@ angle using a Compass : Construct an equilateral triangle and another equilateral triangle on the side of the constructed one.

slide-show version coming soon
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