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CBSE Class 10 Answered

the interior angles of a polygon are in ap.the smallest angle is 120. and the common difference is 5degree. find the number of polygon  
Asked by Deep Chand Agrawal | 13 Feb, 2018, 11:59: AM
answered-by-expert Expert Answer
begin mathsize 16px style 120 plus 125 plus 130 plus.... plus straight n....... open parentheses straight n space sides close parentheses
sum space of space angles space of space polygon space is space open parentheses straight n minus 1 close parentheses cross times 180
straight S subscript straight n equals open parentheses straight n minus 1 close parentheses cross times 180
straight n over 2 open parentheses 2 cross times 120 plus open parentheses straight n minus 1 close parentheses 5 close parentheses equals open parentheses straight n minus 1 close parentheses cross times 180
solve space for space straight n
end style
Answered by Arun | 13 Feb, 2018, 12:04: PM
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