Construct a 60 Degrees Angle Using Compass and Ruler

Often you are required to construct some angles without using a protractor. This article teaches you how to draw a 60 degrees angle using a compass and a ruler.

Steps

1. Mark the vertex of your angle anywhere on the paper. Let us name this point as M .
2. Draw a ray MN, extending in any direction and of any length. This will be one of the arms of our angle.
3. Place the tip of the compass on point M and set its width to any measure less than the length of the ray MN.
4. With the tip of the compass still on M, draw an arc so as to cut the ray MN at some point (say P).
5. Keeping the width unchanged, place the tip of the compass on the point P and draw another arc cutting the arc drawn in the previous step at some point (say Q).
6. Connect the points M and Q with a straight line and extend it to form a ray ML.
   • The measure of the angle LMN is 60^O.

Things You'll Need

• Paper
• Pen or Pencil
• Ruler
• Compass

Related Articles

• Draw an Equilateral Triangle

See also

• Construct a Line Parallel to a Given Line Through a Given Point
• Bisect a Line With a Compass and Straightedge
• Draw a Square
• Construct an Angle Congruent to a Given Angle
• Construct a Perpendicular Line to a Given Line Through Point on the Line
• Construct a 45 Degrees Angle Using Compass and Straightedge
• Construct a 30 Degrees Angle Using Compass and Straightedge

What links here

• Construct a 30 Degrees Angle Using Compass and Straightedge
• Construct a 45 Degrees Angle Using Compass and Straightedge