In Fig. 8.130, if l1||l2, what is the value of x?

Given that,

l1 l2


Let transversal P and Q cuts them


1 = 37o


4 = 58o


5 = xo


1 = 2 = 37o (Corresponding angles) (i)


2 = 3 (Vertically opposite angle)


3 = 37o


3 + 4 + 5 = 180o (Linear pair)


37o + 58o + x = 180o


x = 85o

18