Find the value of $x$ in each of the following figures if $l||m$.
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To do:

We have to find the value of $x$ in each of the given figures if $l \| m$.

Solution:

(i) Let the angle opposite to $110^{\circ}$ be $y$.

Therefore,

$y=110^{\circ}$           [Vertically opposite angles]

$\angle x+\angle y=180^{\circ}$     [Sum of the interior angles on the same side of the transversal is $180^o$]

$\angle x+110^{\circ}=180^{\circ}$

Therefore,

$\angle x=180^{\circ}-110^{\circ}$

$=70^{\circ}$

Thus $x=70^{\circ}$

(ii) $\angle x=100^{\circ}$      [Pair of corresponding angles are equal]

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Updated on: 10-Oct-2022

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