∠y = 25° vertically opposite angle
From the figure we can write as
∠x = ∠y are vertically opposite angles
∠x + ∠y + ∠z + 25° = 360°
∠x + ∠z + 25° + 25° = 360°
On rearranging we get,
∠x + ∠z + 50° = 360°
∠x + ∠z = 360° – 50° [∠x = ∠z]
2∠x = 310°
∠x = 155°
And, ∠x = ∠z = 155°
Therefore, ∠x = 155°, ∠y = 25° and ∠z = 155°
