Sequences and Series 2 Question 19
20. The interior angles of a polygon are in arithmetic progression. The smallest angle is and the common difference is . Find the number of sides of the polygon.
(1980, 3M)
Integer Answer Type Questions
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Solution:
- Since, angles of polygon are in an AP.
If
Again, if
which is not possible.
[since, any angle of polygon cannot be
Hence,
[neglecting