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Step-by-step explanation:
1. Review your original angle. The task for this construction is to copy, or transfer, some given angle, using the rules of mathematical construction. Begin with your sample angle on a sheet of paper. You also need to have a blank space to draw the congruent angle.
For ease of reference, refer to the original angle as Angle ABC. Point B is the vertex of the angle.
An angle is made up of two rays that join at the vertex. This angle is comprised of Ray BA and Ray BC.
2.Get a compass. The first tool that you need for constructing a congruent angle is a compass. Compasses come in a variety of styles. Some very inexpensive ones have a simple slot for you to insert a pencil. Some more expensive and accurate compasses have a variety of lead or ink inserts that may be interchangeable. For a simple task like copying an angle, you can use just about any compass that you have available.
3.Find any straightedge. The second tool you need is a straight edge. In fact, for the most genuine constructions, you should avoid using a ruler. According to the true sense of geometric construction, you should not rely on measurements. Therefore, you can use anything with a rigid straight edge.[1]
4.Use a pencil, pen or other marking tool. The pencil in your compass will be used to mark certain lengths, but you will also need a pencil, pen or marker for drawing straight lines.[2]