In Fig 8.56, lines l 1 and l 2 intersect at O , forming angles as shown in the figure. If x = 45, find the values of y, z and u .

Question

Philoid · Accepted Answer

Given that,

x = 45^o

y =?

z =?

u =?

z = x = 45^o (Vertically opposite angle)

z + u = 180^o (Linear pair)

45^o = 180^o – u

u = 135^o

x + y = 180^o (Linear pair)

45^o = 180^o – y

y = 135^o

Therefore, x = 45^o, y = 135^o, u = 135^o and z = 45^o.