A compass and a straightedge
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The angle-bisector construction is proven effective by demonstrating that the two angles formed by the bisector are congruent. This is achieved using the properties of isosceles triangles, where the lengths of the sides opposite the equal angles are shown to be proportional to the lengths of the adjacent sides of the original angle. Additionally, the use of geometric tools like a compass and straightedge allows for the accurate replication of distances and angles, ensuring that the bisector divides the angle into two equal parts. Thus, the congruence of the resulting angles confirms that the construction reliably bisects any angle.
It is necessary because measuring tools help you measure the length of an object accurately.
A protractor is one of them
A protractor is used to measure angles.When surveying a theodolite is used.There are a number of tools on the market that perform angle measurement.
I believe the German company Walter Tools made the first ones around 1950.