Question

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

Explanation:

When two parallel lines are cut by a transversal, consecutive (same side) interior angles are supplementary (sum to 180°). ∠4 and ∠6 are such angles.

Answer:

Consecutive (Same Side) Interior Angles Theorem