Find the value of ' $x$ ' so that $l ∥ m$

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Solution

As $l | | m$
$∠ E O F = ∠ A O C$ $= 2 x + 15^{o}$ ........ [Vertically opposite angle]

$∠ A O C$ and $∠ D C G$ lie on the same line and on the same side of the transversal.
$\Rightarrow 2 x + 15^{o} = 3 x - 10^{o}$
$\Rightarrow x = 25^{o}$

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