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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.

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mathsConstruction / Practical Geometry (basics)Standard angles Using Campus

### Constructing 60^@ angle using Compass

In this page, a short and to-the-point overview of constructing 60^@ angle using a compass is provided.

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Which of the following geometrical properties help to construct 60^@ angle using a compass?

• An angle in isosceles triangle is 60^@
• Angles in an equilateral triangle are 60^@
• Angles in an equilateral triangle are 60^@

The answer is "Angles in a equilateral triangle are 60^@"

To construct an angle measuring 60^@ at point A on line bar(AB), construct a equilateral triangle as given below.  •  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.

Since the distance measure on compass is identical, points A, P, and Q make an equilateral triangle. The line bar(AQ) is extended and /_PAQ is 60^@

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

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