Find the angle which equal to its supplement. - Vidyadip

Question

Find the angle which equal to its supplement.

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Answer

Let the angle be $x^\circ $
Its supplement $= 180^\circ – x^\circ $
According to the question,
$x^\circ = 180^\circ – x^\circ $
$ \Rightarrow x^\circ + x^\circ = 180^\circ $
$ \Rightarrow 2x^\circ = 180^\circ $
$ \Rightarrow x^\circ = \frac{180^{\circ}}{2} = 90^\circ $
Hence, the required angle is $90^\circ .$

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