MCI CTLR EXPERIENCED OPERROR AT 6700 FT BECAUSE OF INCOMPLETE COORD WITH ADJACENT FACILITY AND INSUFFICIENT TURN ASSIGNMENTS.

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WHILE WORKING SATELLITE S RADAR AT MCI; HAD AC50 DEPART MKC FOR CPS; POINTED ACFT OUT TO DEP E AS TO CLB TO 7000 FT. POINTOUT ACCEPTED AND CLBED ACFT AND PUT ON COURSE; PER LOA WITH SZL. ABOUT 5 NM W OF ANX; SWITCHED ACFT TO SZL. PRIOR TO SWITCHING AC50; HAD ACFT N OF SZL AT 8000 FT; START FLASHING AT SATELLITE; DID NOT ACCEPT HDOF UNTIL I NOTED ACFT OUT OF 7800 FT. I ONLY OWN 6000 FT AND BELOW; NO COORD HAD TAKEN PLACE FROM ZKC. ASSUMED ACFT WAS ON W HDG SINCE NO COORD; AFTER I HAD SWITCHED AC50; THE BE35 CALLED AND APPEARED TO BE DIRECT OJC. ADVISED ACFT THAT HE WAS DSNDING TO 6000 FT; TOLD ACFT TO DSND TO 5000 FT AND OF TFC 1 O'CLOCK AND 10 MI AT 7000 FT. I WORKED OTHER ACFT AND NOTED THE BE35'S PATH WOULD TAKE HIM BEHIND AC50 AND IT APPEARED THAT THERE WAS DIVERGENCE. WORKED OTHER ACFT AND RETURNED ATTN TO BE35. I DID NOT LIKE THE CLOSENESS OF THE 2 ACFT; EVEN THOUGH I THOUGHT I HAD DIVERGENCE. TURNED BE35 TO 270 DEGS; AND NOTED HE WAS OUT OF 6200 FT. SHORTLY THEREAFTER; I TURNED BE35 DIRECT OJC. AFTER A SHORT PERIOD; I ADVISED SUPVR THAT ZKC AND SZL HAD NOT COORD ANYTHING WITH ME AND THAT HE NEEDED TO DISCUSS THIS WITH THEM. HE REVIEWED PLAYBACK AND ADVISED ME THAT THERE WAS LOSS OF SEPARATION. HE LATER TOLD ME THAT ZKC HAD COORD WITH SZL OF DIRECT OJC; BUT SZL DID NOT ADVISE THEM OF THE AC50 THAT THEY HAD BOUGHT HDOF ON THE BE35 WAS NOT GIVEN AN ALT XING RESTR OF 6000 FT 2 1/2 NM E OF MCI AIRSPACE. ACFT CROSSED BOUNDARY AT 6700 FT ON PLAYBACK. THE PLAYBACK ALSO SHOWED THAT IT WAS 137 DEGS DIVERGENCE AND NOT 145 DEGS; I CANNOT TELL THAT LITTLE OD DEGREE. AFTER THE FACT; I COULD HAVE EXPEDITED DSCNT OR TURNED ACFT (WHICH WOULD HAVE REQUIRED COORD); BUT IT APPEARED DIVERGENCE OR XING RESTR WOULD HAVE WORKED.