Find the angle which is equal to its supplement.

To do:

We have to find the angle which is equal to its supplement.

Solution:

Two angles are said to be supplementary if the sum of their measures is $180^o$.

Let the required angle be $x^{\circ}$

This implies,

Its supplement$=(180-x)^{\circ}$

Therefore,

$x^{\circ}=(180-x)^{\circ}$

$(x+x)^{\circ}=180^{\circ}$

$2x^{\circ}=180^{\circ}$

$x^{\circ}=\frac{180^{\circ}}{2}$

$x^{\circ}=90^{\circ}$

Hence, the angle which is equal to its supplement is $90^{\circ}$.

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Updated on: 10-Oct-2022

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