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- Construction of Angles
- How to Construct A 90 Degree Angle
- How to Construct A 60 Degree Angle
- How to Construct A 30 Degree Angle
- How to Construct A 120 Degree Angle Using A Compass
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In geometry, everything neatly fits together. Knowing how to bisect a line segment means we know how to make a 90° angle. Knowing an equilateral triangle has three 60° angles makes an easy job of constructing a 60°angle with only a compass, a pencil, a straightedge, and some paper.
On the paper, draw a line segment longer than the ray of a the 90°angle you need.Locate two points on the line segment at either end.Open the drawing compass to extend a bit beyond half the distance of the line segment (do this visually; no need for numbers).Swing an arc above and below the line segment.60° forms interior angles of equilateral triangles. It is exactly 16\\frac{1}{6}61of a circle. Half of it plus itself forms a right angle. You could go on and on.
A 30° angle is half of a 60° angle. So, to draw a 30° angle, construct a 60°angle and then bisect it. First, follow the steps above to construct your 60°angle. Bisect the 60°angle with your drawing compass, like this: 1. Without changing the compass, relocate the needle arm to one of the points on the rays. Swing an arc on the inside of the angle. ...
Remember how we said everything in geometry fits together? What is the supplementary angle to an angle of 120°? In other words, what angle must we add to 120° to get 180°? Did you say 60°? Sure, a120° angle is the adjacent angle to any of the 60°angles you already constructed! To construct your 120° angle, construct a 60°angle and then extend one o...
Learn how to draw 120° angles using a compass, a pencil, and a straightedge. A 120° angle is the adjacent angle to a 60° angle, which you can construct by swinging arcs from two points on a line segment.
Learn what an angle is and how to measure it in degrees using a protractor. Find out how to identify acute, right and obtuse angles and their sums and differences.
Learn how to construct a 120 degree angle using a compass and a ruler. Follow the steps and see the diagrams to draw an arc that cuts the original arc at two points and join them with a line.
- 4 min
Learn how to construct a 120 degree angle and other angles by combining, subtracting, bisecting, or finding complementary and supplementary angles. See diagrams, examples, and worksheets for each construction method.
