To determine which pair of angles is supplementary when lines \( s \) and \( t \) are parallel, we need to understand the relationships between the angles formed when two parallel lines are intersected by a transversal.
Let's analyze each option:
a. ∠A and ∠D because they are consecutive exterior angles - This statement is correct in identifying the angles as exterior angles, but consecutive exterior angles are not supplementary. Therefore, this option is not valid.
b. ∠G and ∠D because they are a linear pair - A linear pair refers to two adjacent angles that sum to 180 degrees. If ∠G and ∠D are a linear pair, they are supplementary. This option is potentially valid depending on their placement.
c. ∠A and ∠B because they are corresponding angles - Corresponding angles formed by a transversal intersecting parallel lines are congruent (not supplementary). Hence, this option is invalid.
d. ∠B and ∠G because they are consecutive interior angles - Consecutive interior angles are also not supplementary; they are equal due to the parallel lines.
Among these options, option b likely represents the correct relationship if ∠G and ∠D are indeed on the same side of the transversal and adjacent. Thus, the correct answer is:
b. ∠G and ∠D because they are a linear pair.
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