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

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

Slope of the line joining $\left(0,0\right)$ and the point $\left(2,0\right)$ is zero.

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