Question

determine if the lines are parallel. if yes, state the angle pair relationship that proves the lines are parallel. answer not enough evidence not parallel yes because alternate interior angles are congruent yes because alternate exterior angles are congruent yes because same side (consecutive) interior angles are supplementary yes because same side (consecutive) exterior angles are supplementary yes because corresponding angles are congruent

Explanation:

Step1: Recall angle - pair relationships for parallel lines

For parallel lines, alternate interior, alternate exterior, and corresponding angles are congruent, and same - side (consecutive) interior and exterior angles are supplementary.

Step2: Analyze given angles

The given angles are \(40^{\circ}\) and \(150^{\circ}\). They are neither congruent ( \(40^{\circ}
eq150^{\circ}\)) nor supplementary (\(40 + 150=190
eq180\)). So, the lines are not parallel.

Answer:

Not Parallel