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Q.

Find the angle which is equal to its supplement.


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a

80°

b

90°

c

110°

d

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 180o.
Let the required angle be x then its supplement will be (180𝆩-x).
According to the given condition,
 x=180𝆩-x
x+x=180°
2x=180𝆩
x=180°2
x=90°
Therefore, the angle is 90°.
Therefore, option 2 is the right answer.
 
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