The inclination of the line passing through the point of intersection of lines given by $y=\left|x\right|$ and the point $\left(2,0\right)$ is

$\text{ The two lines are given as }x+y=0,x-y=0.\text{ The point of intersection of both lines is ORIGIN}$

$\text{ Slope of the line joining }(0,0)\text{ and the point }(2,0)\text{ is zero. }$

$\text{ Hence the required inclination is }\theta ={\tan }^{-1}\left(0\right)=0^{\circ }$