Answer
x=35
y=70
The angles measure 70, 110 and 70.
Work Step by Step
The Vertical Angle Theorem tells us that $y=2x$.
Use the definition of a linear pair and substitution to write and solve equations.
Solve for x.
$y+(x+y+5)=180\longrightarrow$ a linear pair is supplementary
$2x+x+2x+5=180\longrightarrow$ substitute
$5x+5=180\longrightarrow$ combine like terms
$5x=175\longrightarrow$ subtraction property of equality
$x=35\longrightarrow$ division property of equality
Solve for y.
$y=2x=2(35)=70$
Substitute to find the measure of each angle.
$y=70$
$x+y+5=35+70+5=110$
$2x=2(35)=70$
