To determine which pair of angles is supplementary, we need to consider the definitions and properties of supplementary angles. Supplementary angles are two angles whose measures add up to 180 degrees.
In a situation where a horizontal line is intersected by two parallel lines (let's call them lines s and t), the angles formed at the intersections can be analyzed based on their positions.
- Consecutive exterior angles: These angles are on the outside of the parallel lines but on the same side of the transversal. They sum up to 180 degrees when formed by parallel lines.
- Corresponding angles: These angles are in similar positions relative to the parallel lines and the transversal and are equal, but they are not supplementary.
- Consecutive interior angles: These angles are on the inside of the parallel lines and on the same side of the transversal. They also sum up to 180 degrees when formed by parallel lines.
- Angles that form a linear pair: These angles are adjacent and their non-common sides form a line, so they always add up to 180 degrees.
Considering these definitions, the most likely correct answer would be:
∠G and ∠D because they are a linear pair.
This is because if ∠G and ∠D are adjacent and their non-common sides form a line, they meet the criteria for supplementary angles.