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}

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