Question

In the given figure, the two lines AB and CD intersect at a point O such that ∠BOC = 125°. Find the values of x, y and z.

Answer 1

Here, ∠AOC and ∠BOC form a linear pair.

∴ ∠AOC + ∠BOC = 180º

⇒ xº + 125º = 180º

⇒ xº = 180º − 125º​ = 55º​

Now,

∠AOD = ∠BOC = 125º (Vertically opposite angles)

∴ yº = 125º​

∠BOD = ∠AOC = 55º (Vertically opposite angles)

∴ zº = 55º​

Thus, the respective values of x, y and z are 55, 125 and 55.