In Fig, find the values of x, y and z.

1.	In Fig, find the values of x, y and z.
Answer» ∠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°

Answer»

∠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°

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