Final answer:
Adjacent angles share a common side and vertex without overlapping. Vertical angles are opposite angles formed by intersecting lines. Complementary angles have a sum of 90 degrees, while supplementary angles have a sum of 180 degrees.
Step-by-step explanation:
Adjacent angles are angles that share a common side and a common vertex, but their interiors do not overlap. For example, if you consider angle A and angle B, and they share a common side and a common vertex, then angle A and angle B are adjacent angles.
Vertical angles are a pair of non-adjacent angles formed by two intersecting lines. They are opposite to each other and have the same measure. For example, if you have two intersecting lines, and angle A and angle C are formed, then angle A and angle C are vertical angles.
Complementary angles are a pair of angles whose sum is 90 degrees. For example, if you have angle A and angle B, and their measures add up to 90 degrees, then angle A and angle B are complementary angles.
Supplementary angles are a pair of angles whose sum is 180 degrees. For example, if you have angle A and angle B, and their measures add up to 180 degrees, then angle A and angle B are supplementary angles.