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in Lines and Angles by (38.0k points)
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An angle is equal to its supplement. Determine its measure.

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Best answer

Supplementary angles are pairs of angles whose measures add up to 180 degrees.

Hence,

Let one angle be x.

Since they are equal, therefore the other angle is also equal to x.

So,

x + x = 180°

2x = 180°

x = \(\frac{180}{2}\)

Therefore,

x = 90°

So,

The angle which is its supplement is 90°.

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