Question

directions answer the question below to check your understanding and move forward in the course! this quiz is not graded. two pairs of parallel lines are being intersected by a transversal. which pair of angles are not supplementary? select the correct answer ∠a and ∠b ∠f and ∠g ∠d and ∠f ∠d and ∠e

Explanation:

Step1: Recall supplementary - angle properties

Supplementary angles add up to 180°. When two parallel lines are cut by a transversal, consecutive interior angles and same - side exterior angles are supplementary.

Step2: Analyze each option

• ∠A and ∠B are consecutive interior angles, so they are supplementary.
• ∠F and ∠G are consecutive interior angles, so they are supplementary.
• ∠D and ∠F are vertical angles. Vertical angles are equal, not supplementary.
• ∠D and ∠E are a linear pair. A linear pair of angles is supplementary.

Answer:

∠D and ∠F