What are angles on the same side of a transversal outside of intersected lines that are supplementary when the lines are parallel?

When two parallel lines are intersected by a transversal, the angles that are on the same side of the transversal and located outside of the two parallel lines are known as same side exterior angles. These angles sum up to 180 degrees, which is the defining characteristic of supplementary angles. This relationship comes from the properties of parallel lines cut by a transversal.

To elaborate, same side exterior angles are formed when the transversal crosses the parallel lines and creates pairs of angles. For example, if you label the parallel lines as line A and line B, and the transversal as line C, the angles formed outside between these lines are considered same side exterior angles.

Understanding this property is crucial because it helps in solving various geometric problems and proofs involving parallel lines and transversals. The other types of angles mentioned do not share this specific relationship of being on the same side of the transversal and located outside the intersected lines, which makes them distinct from same side exterior angles.