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