In this question, it does not say that the inscribed triangle and pentagon share a vertex. In the case that they do not share a vertex, the arc distance AB can obviously be more or less than \frac{2\pi}{3}.
Thoughts? I feel in these QC questions it’s standard that unless they tell us something explicitly we should not assume it. Eg, oftentimes a line that looks like it goes through the center of the circle we should not assume actually does.