Kanki wins the battle of Gi'an (Yi'an) vs. Riboku (as seen in the previous chapters), but then loses at Feixia (the open fields between Gi'an and Hika? Or Hika is Feixia idk) though he's not supposed to die yet. Historically, Kanki (Huan Yi) allegedly dies to Riboku (Li Mu)'s army at the battle of Kantan (Handan), Zhao's capital, which Gi'an obviously is not.
To be fair, sources vary, and the "main" source of info for this era, the Shiji (Records of the Grand Historian), makes no mention of Huan Yi/Kanki's fate after Feixia/Hika, so it is entirely possible that he dies here. The other source, the Zhan Guo Ce, is the one that mentions his death at Kantan/Handan.