The angle between two lines whose direction ratios are proportional to 1, 1, -2 and $(\sqrt{3}-1),(-\sqrt{3}-1),-4$ is:

$\frac{\pi}{3}$ $\pi$ $\frac{\pi}{6}$ $\frac{\pi}{2}$

$\frac{\pi}{3}$

The correct answer is Option (1) →  $\frac{\pi}{3}$