Answer
$x=60$, $y=65$, and $z=55$ degrees.
Work Step by Step
Step 1. Using the properties of a triangle, we have
$\begin{cases} x+y+z=180\\ 2x+5=x+y \\ 2x-5=x+z \end{cases}$
Step 2. Simplify and rearrange the above to get
$\begin{cases} x+y+z=180\\ x-y=-5 \\ x-z=5 \end{cases}$
Step 3. Add up all equations to get $3x=180$; thus $x=60$, $y=65$, and $z=55$ degrees.
