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`        the interior angles fo a polygon are inarithmatic progration.The smallest angle is 120 degree and the common difference is 5 degree.Find the number of sides?`
3 years ago

## Answers : (1)

Pratyush Ranjan Roul
19 Points
```							the sequence seems to be 120, 125, 130 …..........So,Sn=n/2{ 240 + (n-1)5 }-----------------(i)but the angles can never be 180o as it does not form a vertex and hence no sideSo, it extend upto 175oSn also equals to  n/2{a + an}Sn=n/2{120 + 175}--------- (ii)Equating i and ii,295 = 240 + 5n – 5=> 5n = 60=> n = 12
```
3 years ago
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• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions