Question

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QUESTION 1: True or false:

Do vertical angles prove parallel lines?

QUESTION 2:

Solve for x in the diagram below. PIC ATTACHED

Answer 1

1. In order to use Theorem 10.7, you need to show that corresponding angles are congruent. You can use the fact that ∠1 and ∠2 are vertical angles, so they are congruent. Because ∠2 and ∠3 are corresponding angles, if you can show that they are congruent, then you will be able to conclude that your lines are parallel.

Answer 2

1.Yes, vertical angles prove lines parallel if there is a transversal and the corresponding vertical angles are congruent

2. x= 12