Pizza Puzzle

Geometry Level pending

Three straight slices cut a round pizza into 6 wedges. One slice is out on a plate and your friends promises that the other 5 slices are still in the box. The tip of the slice visible on the plate is a right angle. What can you definitely deduce about the slices left in the box?

I. At least one of the tips will be an acute angle.
II. At least one of the tips will be a right angle.
III. None of the tips will be obtuse angles.

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