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: Identify angle - pair

The given angles 60° and 120° are same - side interior angles.

Step2: Check angle - sum

Calculate the sum of the two angles: 60°+ 120° = 180°.

Step3: Apply parallel - line theorem

Since same - side interior angles are supplementary (sum to 180°), the lines are parallel.

Answer:

Yes because Same Side (Consecutive) Interior angles are supplementary