SSC MTS Model Paper 1

∠ OCX = 45° (ABCD is a square & AC bisects ∠ BCD)
∠ COD + ∠ COX = 180°
⇒ ∠ COX = 180° – ∠ COD = 180° –105° = 75°
In ∆OCX
∠ OCX + ∠ COX + ∠ OXC = 180°
⇒ 45° + 75° + ∠ OXC = 180°
⇒ ∠ OXC = 180° – 120° = 60°
∴ x = 60°