Answer
$x=95$ degrees, $y=123$ degrees, $z=70$ degrees
Work Step by Step
$x+y+z+72=360$
$x+z+15=180$
$y+z-13=180$
$x+y+z=288$
$x+z=165$
$y+z=193$
$x+y+z-x-z=288-165$
$y=123$
$y+z=193$
$123+z=193$
$z=70$
$x+z=165$
$x+70=165$
$x=95$