The eqn. of the lines are $x=1,\:\:y=2$.....(i) and $y=-1,\:\:z=0$.....(ii)
The equations can be written as
$\large\frac{x-1}{0}=\frac{y-2}{0}=\frac{z}{1}=\lambda$.........(i) and
$\large\frac{x}{1}=\frac{y+1}{0}=\frac{z}{0}=\mu$.........(ii)
$\therefore$ The $d.r.$ of the lines are $(0,0,1)\:\:and\:\:(1,0,0)$
Angle between them is given by $cos\theta=\large\frac{(0,0,1).(1,0,0)}{\sqrt 1.\sqrt 1}$$=0$
$\therefore$ $\theta=90^{\circ}$