The angle bisector completed incorrectly is the angle bisector with the heading "Example 2"
How it is known that the bisector with heading "Example 2" was completed incorrectly is the difference between the length of the intersection of the two arcs on the two lines that form the angle which is to be bisected
The angle bisector is constructed from the intersection of the arcs drawn from the two arcs intersecting the lines forming the angle, therefore, they need to be equidistant from the point B in order to construct the line passing through midpoint of the angles