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

Given that, ∠x + ∠y + ∠z+ ∠u + 50° + 90° = 360°

Linear pair, ∠x + 50° + 90° = 180°

∠x + 140° = 180°

On rearranging we get

∠x = 180° – 140°

∠x = 40°

From the figure we can write as

∠x = ∠u = 40° are vertically opposite angles

∠z = 90° is a vertically opposite angle

∠y = 50° is a vertically opposite angle

Therefore, ∠x = 40°, ∠y = 50°, ∠z = 90° and ∠u = 40°