How to Determine Angles Without Protractors

It can take a bit of calculating in order to determine angles without the use of protractors. Still, the gauging of angles without the use of a protractor is a basic characteristic of geometry. The three concepts which let you figure out an angle are cosine, tangent and sine. You can base angles exclusively by the length of a right triangle's two sides.

Things You'll Need

  • Pencil
  • Scientific calculator
  • Ruler
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Instructions

    • 1

      Figure out the kind of angle you are working. A right angle is formed by perpendicular line segments and is 90 degrees. An obtuse angle is bigger than a right angle. An acute angle is smaller than 90 degrees.

    • 2

      Pose the intersecting points of the cross. An intersecting point is the center location where two distinct lines cross one another. These are your two line segments. Every line segment must extend and cross both axes. Make sure that the initial start is to the left and underneath the left intersecting point.

    • 3

      Resolve the slopes of the two lines by measuring the rise of the line segment. Divide it by its horizontal aspect. You'll need to use two points on each line. Once that is completed, carefully measure the divergence between the vertical components. Now divide the difference within the horizontal component. This will provide you with the ratio, which will always be the slope of the line. You've just determined angles without using a protractor.

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