I am having trouble sketching a complex argument arc
$ \text{Sketch the following on an arcand diagram:}\\ \arg\left(\frac{w+1}{w}\right)=\frac{\pi}{6}$
I've tried to devise a method on my own looking at questions and answers but it has failed me on this specific question so I require some help.
What I have been doing so far is I was writing $\arg\left(\frac{x+iy+1}{x+iy}\right)$ $x+1=0\\y=0\\y=0 \\ x=0$ Getting two points (-1,0) and (0,0). So I take the two points and connect them with an arc.
However the solution of the exercise was this:
However my answer was exactly the opposite on the y-axis. Can anyone show me a method and the logic behind the drawing of the arc, and the arc of any other similar question?