Answer:
x = 50° , y = 100°
Step-by-step explanation:
∠ COE and ∠ DOF are vertically opposite and are congruent , so
∠ DOF = x = 50°
∠ BOF and ∠ AOE are vertically opposite and are congruent , so
∠ AOE = 30°
∠ COE + ∠ AOE + ∠ AOD = 180° ( angles on a straight line ) , that is
50° + 30° + y = 180°
80° + y = 180° ( subtract 80° from both sides )
y = 100°
