1) ∠C - смежный => ∠KCO = 180 - ∠OCA
∠KCO = 180 - 140 = 40°
2) ∠KCO = ∠COM (т.к. накрест лежащие)
3) OC - биссектриса ∠KOM => ∠KOC = ∠COM
∠KCO = ∠COM = ∠KOC = 40°
4) ∠K = 180 - ∠KOC - ∠KCO = 180 - 40 - 40 = 100°
ответ: ∠K = 100°
