From the figure we know that ∠AOC and ∠BOC form a linear pair of angles
So it can be written as
∠AOC + ∠BOC = 180o
By substituting the values we get
x + 125o = 180o
On further calculation
x = 180o – 125o
By subtraction
x = 55o
From the figure we know that ∠AOD and ∠BOC are vertically opposite angles
So we get
y = 125o
From the figure we know that ∠BOD and ∠AOC are vertically opposite angles
So we get
z = 55o
Therefore, the values of x, y and z are 55o, 125o and 55o