Question

use the given information to determine which lines, if any, are parallel. justify each conclusion with a theorem.
∠8≅∠8
determine the pair of parallel lines and justify the conclusion. select all that apply.
a. r||m by the same - side interior angles theorem
b. m||n by the corresponding angles theorem
c. r||s by the alternate exterior angles theorem
d. s||n by the alternate interior angles theorem
e. there is not enough information to prove whether or not any of the lines are parallel.

Explanation:

Step1: Analyze angle - pair relationship

We are given that $\angle8\cong\angle8$. This is a self - congruence and does not provide any information about the parallelism of the lines based on the parallel - line theorems (Same - Side Interior Angles Theorem, Corresponding Angles Theorem, Alternate Exterior Angles Theorem, Alternate Interior Angles Theorem).

Answer:

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