Question

if lines s and t are parallel, which pair of angles is supplementary and why? (1 point)
∠a and ∠d because they are consecutive - exterior angles
∠b and ∠g because they are consecutive interior angles
∠g and ∠d because they are a linear pair
∠a and ∠b because they are corresponding angles

Explanation:

Step1: Recall angle - pair properties

When two parallel lines are cut by a transversal, consecutive exterior angles are supplementary. Consecutive interior angles are supplementary. Linear - pair angles are supplementary by definition. Corresponding angles are congruent.

Step2: Analyze each option

• Option 1: $\angle A$ and $\angle D$ are consecutive exterior angles. When two parallel lines ($s$ and $t$) are cut by a transversal, consecutive exterior angles are supplementary.
• Option 2: $\angle B$ and $\angle G$ are not consecutive interior angles.
• Option 3: $\angle G$ and $\angle D$ are not a linear - pair.
• Option 4: $\angle A$ and $\angle B$ are corresponding angles and are congruent, not supplementary.

Answer:

$\angle A$ and $\angle D$ because they are consecutive exterior angles