Question

parallel angle relationship reasons. use the diagram below to give a reason for the conclusion: if p || q, then ∠4+∠6 = 180. consecutive (same side) interior angles postulate, consecutive (same side) interior angles postulate converse, consecutive (same side) exterior angles theorem, consecutive (same side) exterior angles theorem converse, none. these angles do not prove parallel lines.

Explanation:

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. ∠4 and ∠6 are consecutive interior angles, so their sum is 180°.

Answer:

Consecutive (Same Side) Interior Angles Postulate