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Paragraph: The interior angles of a polygon of n sides are in AP. The smallest angle is 120^ and the common difference is 5^ . Question: What is the largest interior angle of the polygon?

Options

  1. A160^ only
  2. B195^ only
  3. CEither 160^ or 195^
  4. DNither 160 nor 195^

Correct answer

A. 160^ only

Step-by-step solution

For n=9 Largest angle =T₉=120+(9-1) 5=160 For n=16 Largest angle =T₁₆=120+(16-1) 5=195 (Not possible).

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