Step 1: Recall how gear types map to shaft layouts.
Spur and helical gears connect parallel shafts. Bevel gears connect shafts whose axes intersect at a point, usually at 90 degrees. Worm and worm wheel sets connect shafts that are skew, meaning neither parallel nor intersecting.
Step 2: Picture the worm and worm wheel axes.
The worm looks like a screw and its axis sits perpendicular to the worm wheel axis, but the two axes lie in different planes and never cross, so they do not intersect.
Step 3: Match this to the answer choices.
Only "non-parallel and non-intersecting shafts" describes this skew arrangement; the other three options describe parallel or intersecting layouts that belong to other gear types.
Final Answer:
Worm gearsets transmit motion between non-parallel, non-intersecting shafts.
\[ \boxed{\text{Answer: non-parallel and non-intersecting shafts}} \]