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M.vs vivek vardhan Grade: 12
        

our sir told that the sum of the interior angles of an 'n' sided polygon is '(n-2)pie'.how?

7 years ago

Answers : (1)

Anil Pannikar AskiitiansExpert-IITB
85 Points
										

Dear Vivek,


 


A quadrilateral has  4 sides, draw a diagonal and divide it into 2 traingles


so , Sum of angle  =  2 * 180 = 360


A pentagon has 5 sides, draw 2 diagonal and divide it into 3 traingles


so , Sum of angle  =  3 * 180 = 540


similarly. a hexagon has 6 sides, draw 3 diagonal and divide it into 4 traingles


so , Sum of angle  =  4* 180 = 720


 


so u can generalize, sum = ( n-2 )*180


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All the best.


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Askiitians Expert


Anil Pannikar


IIT Bombay

7 years ago
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