An angle bisector is a line or ray that divides an angle into two equal parts. Given this definition:
1. Complementary angles are two angles whose measures add up to 90 degrees. This is not necessarily related to the process of bisecting a single angle.
2. Congruent angles are angles that have the same measure. When an angle is bisected, the resulting two angles will be equal in measure, or congruent, since the bisector divides the original angle into two equal parts.
3. Vertical angles are the angles opposite each other when two lines cross. The concept of vertically opposite angles is different from bisecting an angle.
4. Supplementary angles are two angles whose measures add up to 180 degrees. This situation can happen independently of whether an angle is bisected or not.
Given that an angle bisector divides an angle into two equal parts, the type of angles resulting will be:
Congruent angles
Thus, the correct answer is:
Congruent angles