Find the angle which is equal to its supplement.

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$30^{\circ}$

$45^{\circ}$

$60^{\circ}$

$90^{\circ}$

answer is D.

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Detailed Solution

Let, the measure of the required angle be x.
Given, that it is its own supplement.

x + x = $180^{\circ}$ (If two angles are supplementary, then the sum of their measures is $180^{\circ}$ ).
2x = $180^{\circ}$

x = $\frac{180^{\circ}}{2}$ = $90^{\circ}$
$∴$ The required angle is 90°.

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