## Geometry: Common Core (15th Edition)

$x=38$ $y=104$
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 $y=104$