Explanation:
Sure, let me help you with that. Two pairs of supplementary angles when segment AB and segment DC are parallel are:
1. Angle ABD and angle BCD: These angles are corresponding angles formed by a transversal intersecting parallel lines. Corresponding angles are congruent, and when they add up, they form a straight angle, which is 180 degrees.
2. Angle ABC and angle CDA: These angles are alternate interior angles formed by a transversal intersecting parallel lines. Alternate interior angles are congruent, and when they add up, they form a straight angle, which is 180 degrees.