Final Answer:
Corresponding angles, which are congruent. Alternate interior angles, which are congruent. Alternate exterior angles, which are congruent.
Same-side interior angles, which are supplementary.Same-side exterior angles, which are supplementary.
Step-by-step explanation:
When a transversal intersects two parallel lines, several pairs of angles are created. Corresponding angles occupy the same relative positions at different intersections on the parallel lines and the transversal. These angles are congruent, meaning they have equal measures.
Alternate interior angles lie on opposite sides of the transversal between the two parallel lines. They are also congruent to each other. Similarly, alternate exterior angles are located on opposite sides of the transversal but outside the parallel lines. They share the same measure and are congruent.
Same-side interior angles are positioned on the same side of the transversal within the two parallel lines. They are supplementary, which means their measures add up to 180 degrees. Likewise, same-side exterior angles are located on the same side of the transversal but outside the parallel lines and also form supplementary angles.
Understanding these angle relationships is essential in solving geometric problems involving parallel lines intersected by a transversal, allowing for the determination of unknown angles based on these congruent or supplementary relationships.