Answer:m∠KIJ = m∠LIM ⇒ answer BStep-by-step explanation:* Lets explain how to solve the problem∵ I is the mid-point of NH∴ IN = IH- MJ is perpendicular to NH and passes through I the mid-point of NH∴ MJ is perpendicular bisector of NH- NH ⊥ MJ and intersects it at I∴ m∠NIM = m∠NIJ = 90°- ∠ NIM consists of two angles ∠NIL and ∠MIL∵ m∠NIM = m∠NIL + m∠MIL- ∠NIJ consists of two angles ∠NIK and ∠JIK∵ m∠NIJ = m∠NIK + m∠JIK∴ m∠NIL + m∠MIL = m∠NIK + m∠JIK ⇒ (1)∵ NH bisects ∠KIL∴ m∠NIL = m∠NIK ⇒ (2) - From (1) and (2)∴ m∠MIL = m∠JIK* m∠KIJ = m∠LIM