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Thought-Process to Discover Knowledge

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Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

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mathsConstruction / Practical Geometry (basics)Standard angles Using Campus

### Constructing 30^@ using a compass

In this page, a short and to-the-point overview of constructing 30^@ angle using a compass is provided.

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Which of the following help to construct 30^@ angle using a compass?

• construct 60^@ and bisect that
• construct 60^@ and bisect that
• 30^@ angle cannot be constructed using a compass

The answer is "construct 60^@ and bisect that"

We have learned constructing 60^@ and bisecting an angle using a compass. Combine these two to construct 30^@ angle.  •  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 an arbitrary distance-measure on compass, construct two arcs from points P and Q. These arcs cut at point R. The line bar(AR) bisects the angle /_PAQ.

The angle 30^@ is constructed as /_PAR.

Constructing 30^@ angle using a Compass : Construct an equilateral triangle and the angle 60^@ is constructed at the vertex. Bisect the angle.

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