Answer
$60^{\circ}$
Work Step by Step
Step 1. Given the line equation $y-\sqrt 3x+1=0$, we can find its slope as $m=\sqrt 3$
Step 2. Assume this line forms and angle $\theta$ with the x-axis, then $tan\theta=m=\sqrt 3$ and
the acute angle $\theta=tan^{-1}\sqrt 3=\frac{\pi}{3}$ or $60^{\circ}$