What is the relationship between vertical angles?

Vertical angles are formed when two lines intersect, creating pairs of opposite angles. The key characteristic of vertical angles is that they are always congruent, which means they have equal measures. This congruence occurs because when the angles are formed by the intersection, they are mirrored across the intersecting lines.

For example, if one angle measures 50 degrees, its vertical angle will also measure 50 degrees. Understanding this relationship is essential in solving many geometric problems, as it allows for the use of angle relationships in proofs, calculations, and reasoning.

The other choices describe different relationships or characteristics of angles that are not applicable to vertical angles. While supplementary angles add up to 180 degrees, vertical angles do not share this property. Adjacent angles are next to each other and share a common side, whereas vertical angles are opposite and do not share sides. Lastly, vertical angles can indeed be visualized using diagrams of intersecting lines. Thus, the concept of congruence among vertical angles is key to their understanding in geometry.