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 110o are equal as both are corresponding angles
Therefore,
∠y = 110o (Corresponding angles)
Also,
∠x and ∠y are forming a linear pair and we know that sum of angles of linear pair is equal to 180o
Therefore,
∠x + ∠y = 180o (Linear pair)
∠x + 110o = 180o
∠x = 180o – 110o
∠x = 70o
Hence, value of ∠x is 70o
(ii) From the above figure it is clear that,
∠x and 100o are equal as they are corresponding angles
Therefore,
∠x = 100o
Hence,
The value of ∠x is 100o