In Fig. 8.138, if lines l and m are parallel, then x =

l m

Let transversal be n and 1 = 65o


2 = 20o


3 = x


Since,


l m and n cuts them so,


1 + 4 = 180o (Co. interior angle)


65o + 4 = 180o


4 = 115o (i)


4 = 5 = 115o (Vertically opposite angle)


2 + 5 + 3 = 180o


20o + 1150 + x = 180o


x = 45o

26