What are angles on the same side of a transversal within parallel lines that are supplementary?

Angles on the same side of a transversal that are formed between two parallel lines are called same side interior angles. When two parallel lines are intersected by a transversal, the pairs of same side interior angles are located on the same side of the transversal and inside the parallel lines. A key property of these angles is that they are supplementary, which means their measures add up to 180 degrees.

This characteristic is crucial in geometry, especially in solving problems involving parallel lines and transversals. Understanding that same side interior angles are supplementary helps in identifying relationships between angles in various geometrical configurations. In contrast, corresponding angles, vertical angles, and alternate interior angles have different properties and do not relate in the same way to the concept of being supplementary when parallel lines are involved.