Find theangle which is five times its supplement. - Vidyadip

Question

Find theangle which is five times its supplement.

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Answer

Let the measure of the required angle be $x$ .
Then, measure of its supplement $=\left(180^{\circ}- x \right)$.
Therefore, $x =\left(180^{\circ}- x \right) 5$
$\Rightarrow x=900^{\circ}-5 x $
$ \Rightarrow 6 x=900^{\circ} x=150^{\circ}$
Hence, the measure of the required angle is $150^{\circ}$.

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