Find the value of x in each of the following figures if l||m

(i)

(ii)

(i) From the above figure, we have

∠y and 110^o are equal as both are corresponding angles

Therefore,

∠y = 110^o (Corresponding angles)

Also,

∠x and ∠y are forming a linear pair and we know that sum of angles of linear pair is equal to 180^o

Therefore,

∠x + ∠y = 180^o (Linear pair)

∠x + 110^o = 180^o

∠x = 180^o – 110^o

∠x = 70^o

Hence, value of ∠x is 70^o

(ii) From the above figure it is clear that,

∠x and 100^o are equal as they are corresponding angles

Therefore,

∠x = 100^o

Hence,

The value of ∠x is 100^o