Question

What postulate or theorem proves that line q || line r given that ∠8 ≅ ∠2?

https://learning.k12.com/content/enforced/437405-COF_ID125380/A20%20ET%20Q1.png?_&d2lSessionVal=XXwJC5eQzu8kVpQLmk9QvT04d

A. Converse of the Alternate Interior Angles Theorem

B. Converse of the Alternate Exterior Angles Theorem

C. Converse of the Corresponding Angles Postulate

D. Converse of the Same-side Interior Angles Theorem

Answer 1

@SmokeyBrown

Answer 2

Well, I can't follow that link to the assignment since it just directs me to a login screen. But don't worry about giving me your sign-in info, lol.
Unfortunately, all of the answer choices relate to parallel lines, so it would be important for us to see the picture. Can you take a screenshot, or draw it out maybe?

Answer 3

Oh ok, this one is the converse of the alternate exterior angles postulate.
See, angles 2 and 8 are on opposite sides of the line that cuts through the parallel lines. That means that they are alternate exterior angles.