Consecutive angles are angles that share a common side and a common vertex but do not overlap. They are often found in geometric figures, such as polygons, and particularly in the context of parallel lines cut by a transversal.
For instance, if two lines are cut by a transversal, the angles that are on the same side of the transversal and next to each other are classified as consecutive interior angles. In the case of a rectangle, all interior angles are consecutive angles as they share sides with one another.
Understanding the concept of consecutive angles is crucial in geometry, especially when working with angle relationships, such as supplementary angles, which add up to 180 degrees.