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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
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Mark the vertex of your angle anywhere on the paper. Let us name this point as M . [1] X Research source -
Draw a ray MN, extending in any direction and of any length. This will be one of the arms of our angle. [2] X Research sourceAdvertisement -
Place the tip of the compass on point M and set its width to any measure less than the length of the ray MN. [3] X Research source -
With the tip of the compass still on M, draw an arc so as to cut the ray MN at some point (say P). [4] X Research source -
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). [5] X Research source -
Connect the points M and Q with a straight line and extend it to form a ray ML. [6] X Research source- The measure of the angle LMN is 60 O
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- The measure of the angle LMN is 60 O
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QuestionWhat are the steps to construct a 90 degree angle?DonaganTop AnswererDraw a base line. Pick a point on the base line. Mark an equal distance from that point in each direction of the line so that you now have two new points on the base line. Use the compass to strike two arcs of equal radius, one centered on each of the two new points. Draw a line from the original point on the base line to the intersection(s) of the arcs. This new line is perpendicular to the base line and makes two 90-degree angles with it.
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QuestionHow do I construct a 45 degree angle?DonaganTop AnswererPick a point on a line to be the vertex of your angle. Mark a convenient distance along the line from the vertex. Draw a new line perpendicular to the first line at the point you measured. Measure from that point along the perpendicular line a distance equal to the distance along the first line from the vertex to the base of the perpendicular line. Mark that last measurement. Draw a line from the vertex to that last mark you made. The new line makes a 45-degree angle with the original line.
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QuestionHow can I make 30-degree angle?DonaganTop AnswererConstruct a 60° angle as shown above. Then bisect it using a compass and straightedge. You wind up with two 30° angles.
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Things You'll Need
- Paper
- Pen or Pencil
- Ruler
- Compass
References
- ↑ https://www.mathopenref.com/constangle60.html
- ↑ https://www.bbc.co.uk/bitesize/guides/z9pfcwx/revision/4
- ↑ https://www.cuemath.com/geometry/constructing-an-angle-of-60-degrees/
- ↑ https://www.mathsisfun.com/geometry/construct-60degree.html
- ↑ https://www.mathsisfun.com/geometry/construct-60degree.html
- ↑ https://www.cuemath.com/geometry/constructing-an-angle-of-60-degrees/
About This Article
Thanks to all authors for creating a page that has been read 224,130 times.
Reader Success Stories
- "It actually served as a quick reminder for me. I forgot a few steps to constructing."
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"It actually served as a quick reminder for me. I forgot a few steps to constructing."
"I was having many problems in construction, but these articles solved it. "
"Students can easily understand this. Thanks a lot!"
"Very fantastic, I learn from here."
