Answer:
m = 70°
Step-by-step explanation:
∠IHA + ∠AHG = 180 {Linear pair}
∠IHA + 120 = 180
∠IHA = 180 - 120 = 60
In ΔABH ,
∠A + ∠AIH + ∠AHI = 180 {Angle sum property of triangle}
50 + ∠AIH + 60 = 180
∠AIH + 110 = 180
∠AIH = 180 - 110
∠AIH = 70°
BG // CK and AD is transversal,
m = ∠AIH {Alternate interior angles}
m = 70°
