The larger of the two supplementary angles exceeds the smaller by 1800 . Find them.

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1 Answers

Let x and y be the supplementary angles, where x > y. 

As per the given condition 

x + y = 1800 …….(i) 

And x – y = 180 ……..(ii) 

Adding (i) and (ii), we get 

2x = 1980 

⇒ x = 990 

Now, substituting x = 990 in (ii), we have 

990 – y = 180 

⇒ x = 990 – 180 = 810 

Hence, the required angles are 990 and 810 .

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