Question

In Fig., three coplanar lines intersect at a point O, forming angles as shown in the figure, Find the values of x, y, z and u.

Answer 1

Since,

Vertically opposite angles are equal

So,

∠BOD = z = 90°

∠DOF = y = 50°

Now,

x + y + z = 180°(Linear pair)

x + 90° + 50° = 180°

x = 40°