Q3 of 115 Page 8

In Fig. 8.58, find the values of x, y and z.

From the given figure,

∠y = 25^o(Vertically opposite angle)

(x + y) = 180^o (Linear pair)

x + 25^o = 180^o

x = 155^o

Also,

z = x = 155^o (Vertically opposite angle)

y = 25^o

In Fig 8.56, lines l₁ and l₂ intersect at O, forming angles as shown in the figure. If x = 45, find the values of y, z and u.

In Fig. 8.57, three coplanar lines intersect at a point O, forming angles as shown in the figure, Find the values of x, y, z and u.

In Fig. 8.59, find the value of x.

Prove that the bisectors of a pair of vertically opposite angles are in the same straight line.