# Chapter 3 - Parallel and Perpendicular Lines - 3-3 Proving Lines Parallel - Practice and Problem-Solving Exercises - Page 161: 14

x=50

#### Work Step by Step

The Converse of the Alternate Interior Angles Theorem tells us the lines are parallel when the alternate interior angles are congruent. $95=2x-5\longrightarrow$ definition of congruent $100=2x\longrightarrow$ addition property of equality $50=x\longrightarrow$ division property of equality

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.