A transversal is a line that intersects two or more other lines at distinct points. When a transversal crosses parallel lines, it creates several angles, which can be classified into pairs such as corresponding angles, alternate interior angles, and consecutive interior angles. These angle relationships are important in geometry and help in solving various problems related to angles and parallel lines. In geometry, understanding transversals is essential for proving theorems and solving equations. For example, if two parallel lines are cut by a transversal, the corresponding angles are equal, and the alternate interior angles are also equal. This property is often used in proofs and real-world applications, such as in architecture and engineering, where precise measurements are crucial.