# Chapter 2 - Reasoning and Proof - 2-6 Proving Angles Congruent - Practice and Problem-Solving Exercises - Page 124: 7

$x=38$ $y=104$

#### Work Step by Step

Use the Vertical Angles Theorem to write an equation and solve for x. $2x=76\longrightarrow$ Division property of equality; Divide by 2 $x=38$ A linear pair is supplementary. $76+y=180\longrightarrow$ Subtraction property of equality; Subtract 76 $y=104$

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.