For the points A, B, C, D to con cyclic then ∠ABC+∠ADC=180o
∠ABC=180o−∠EBC (linear pair)
=180o−110o
=70o
(i) x = 70 and ∠EBC=110o
x= 180o−∠ADC
∠ADC=180o−x=180o−70o=110o
∠ABC+∠ADC=70o+110o=180o
yes, it is concyclic.
(ii) x = 80 and ∠EBC=110o
x= 180o−∠ADC
∠ADC=180o−x=180o−80o=100o
∠ABC+∠ADC=80o+110o=190o
No, it is not concyclic.