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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:

enter image description here

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?

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