Question

In the below fig, lines �1 and �2 intersect at O, forming angles as shown in the figure. If x = 45, Find the values of x, y, z and u.

Answer 1

Given that

x = 45°, y = ?, z = ?, u = ?

Vertically opposite sides are equal

∴z = x = 45°

z and u angles are linear pair of angles

∴z + u = 180°

z = 180° - 4

⇒ u = 180° - x

⇒u = 180° - 45°                   [∵  x = 45°]

⇒ u = 135°

x and y angles are linear pair of angles

∴x + y = 180°

y = 180° - x

y = 180° - 45°

y = 135°

∴x = 45°, y = 135°, z = 135° and u = 45°