the bisector is a ray equidistant from the two sides of the angle. Since the two arcs have the same radius, their intersection will be on the bisecting ray. Otherwise, you have no idea where the ray goes.

Answer 1

The bisector is a line or ray that divides an angle into two equal parts. It is equidistant from the two sides of the angle, meaning that it is the same distance away from each side.

If you have two arcs with the same radius and their intersection is on the bisecting ray, it means that the bisecting ray passes through the center of both arcs. This is because the radius of a circle is the distance from the center to any point on the circumference. So if both arcs have the same radius, their centers will be the same point.

On the other hand, if the intersection of the two arcs is not on the bisecting ray, it means that the bisecting ray does not pass through the center of both arcs. In this case, there is no way to determine where exactly the bisecting ray goes without more information. It could go anywhere within the angle, depending on the specific positions and sizes of the arcs.