The 737 flaps (at least some models) go up to 40 degrees, but I've never seen them at such an angle.
Probably because the flap handle positions do not correspond to degrees of flaps extended. Quite simply, they are names (labels) for the flap handle positions only. The MD
OpMans I recall seeing the flap handle positions corresponding to actual flap positions, but the Boeing OpMans all state the detents as Flap Handle Positions. i.e. B738 OpMan says:
"Moving the Flap Lever aft allows selection of flap detent positions 1, 2, 5, 10, 15, 25, 30, or 40."
"Flap positions 30 and 40 are normal landing flap positions. Flaps 15 is used for high density altitude landings."
Nowhere will you find Boeing stating the flap handle position corresponds to any specific degree of flap extention. During my B767/757 initial training (many many moons ago) this distinction (flap handle position did not necessary correspond to actual flap position) was emphasized early and often since AA
was relatively new to B757s and Flaps-1 caused trailing edge flap extention on one bird, but not the other (I don't recall which was which anymore; 757 vs 767). Same for landing flap handle positions... they were simply "normal landing flap settings" and anything else would be a non-normal landing.
Hope that's not confusing the issue.