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Find the angle which is equal to its supplement.

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80 °

90 °

110 °

154 °

answer is B.

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Detailed Solution

It is given that a pair of supplementary angles where both the angles are equal to each other.
We know that the supplementary angles are those which add up to

18 0^{o}

.
Let the required angle be

x

then its supplement will be

(180 𝆩 - x)

.
According to the given condition,

x = (180 𝆩 - x)

\Rightarrow

x + x = 180 °

\Rightarrow 2 x = 180 𝆩

\Rightarrow x = \frac{180 °}{2}

\Rightarrow x = 90 °

Therefore, the angle is 90°.
Therefore, option 2 is the right answer.

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