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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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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?construct 60 degree

  • 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. construct 60 degree  •  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.construct 60 degree

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