In the figure, $P O Q$ is a line, $∠ P O R = 4 x$ and $∠ Q O R = 2 x$ . Find the value of $x$ .

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Solution

From the figure we have,
$∠ P O R + ∠ Q O R = 180^{o}$ .
or, $4 x + 2 x = 180^{o}$
or, $6 x = 180^{o}$
or, $x = 30^{o}$ .

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