A B737-200 HAD PAX RPT OF R WING LEADING EDGE DEVICES DEPLOYING IMPROPERLY.

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WHILE TRAVELING ON ACR FROM DFW TO MCI SEATED IN ROW XXF ON A B737-200. WHILE FLC WAS ENTERING A DOWNWIND FOR RWY 19R; CREW BEGAN FLAP EXTENSION. OUTBOARD SLAT ON R WING DID NOT PROPERLY EXTEND. THE INBOARD FLAP SEGMENT HUNG UP AND DID NOT ALLOW FULL EXTENSION OF FLAP SEGMENT. AFTER LNDG; I IDENTED MYSELF TO CAPT AS A PLT AND EXPLAINED WHAT I OBSERVED. CAPT'S FIRST QUESTION WAS 'ARE YOU A QUALIFIED CAPT; RATED FOR THE B737-200?' WHEN I ANSWERED 'NO; BUT I HAVE BEEN A PLT APPROX 17 YRS; AND USED TO WORK FOR A MAJOR PART 121 CARRIER AND HAVE WORKED AROUND B737'S;' THE CAPT STATED 'YOU ARE NOT QUALIFIED TO KNOW WHETHER THE FLAPS WERE PROPERLY EXTENDED OR NOT.' I THEN EXPLAINED HOW THE SLAT SEGMENT HAD HUNG UP ON THE INBOARD SIDE; AND HOW THE FLAP HAD BEEN CANTED; HE INDICATED THAT WAS HOW THE FLAPS ON THE B737-200 ARE SEQUENCED. AGAIN I INDICATED I WAS FAMILIAR WITH FLAP SEQUENCING AND THIS WAS A FAILURE TO EXTEND PROB. CAPT INDICATED HIS INSTS SHOWED THE FLAP HAD FULLY EXTENDED. I INDICATED I THOUGHT THE FLAP POS GAUGE WAS TIED TO THE FLAP POS HANDLE AND DID NOT INDICATE ACTUAL FLAP POS. CAPT THEN SAID HE WILL HAVE MAINT CHK IT OUT. I WAITED AT THE GATE FOR 2 HRS; MAINT DID NOT CHK FLAPS. ONCOMING FLC DEPLANED FROM NEARBY GATE. FO SET FLYING BAG AT NOSEWHEEL; DID A 90 SECOND WALKAROUND AND 4 MINS LATER FLT WAS PUSHED BACK AND DEPARTED FOR LVN. ATTEMPTS TO BRING SIT TO OPS PERSONNEL AT GATE WERE NOT SUCCESSFUL; PHONE CONTACTS NOT RETURNED.