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Q.

Which of the following pairs represents supplementary angles?


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a

55∘,115∘

b

65∘,125∘

c

47∘,133∘

d

40∘,50∘  

answer is C.

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Detailed Solution

It is given to find a pair of supplementary angles.
A pair of angles that sum up to 180∘are known as supplementary angles.
When the sum of two angles is equal to 180° then we call that pair of angles supplements of each other.
So, we know that the sum of two supplementary angles is 180° and each of them is said to be a "supplement" of the other.
In option 1,
 55∘+115∘=170°
In option 2,
65∘+125𝆩=190∘
In option 3, 47∘+133∘=180∘
In option 4,
 40∘+50∘=90°
So only option 3 represents a  pair of supplementary angles.
Hence, the correct option is 3.
 
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