Question

use the given information to determine which lines, if any, are parallel. justify each conclusion with a theorem. ∠10 is supplementary to ∠6. determine the pair of parallel lines and justify the conclusion. select all that apply. a. r||s by the alternate - exterior angles theorem b. t||u by the corresponding angles theorem c. s||v by the alternate interior angles theorem d. o||v by the same - side interior angles theorem e. there is not enough information to prove whether or not any of the lines are parallel. video textbook get more help - clear all check answer review progress question 3 of 10 back next

Explanation:

Step1: Recall angle - related parallel - line theorems

The Alternate Exterior Angles Theorem states that if alternate exterior angles are congruent, then the lines are parallel. The Corresponding Angles Theorem states that if corresponding angles are congruent, then the lines are parallel. The Alternate Interior Angles Theorem states that if alternate interior angles are congruent, then the lines are parallel. The Same - Side Interior Angles Theorem states that if same - side interior angles are supplementary, then the lines are parallel.

Step2: Analyze the given information

We are given that $\angle10$ is supplementary to $\angle6$. But we don't know the relationship between these angles in terms of the parallel - line theorems. $\angle10$ and $\angle6$ are not alternate exterior, corresponding, alternate interior, or same - side interior angles with respect to any of the given lines in the common parallel - line angle relationships.

Answer:

E. There is not enough information to prove whether or not any of the lines are parallel