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KVPY2013MathematicsBasics of Mathematics

Let P be a closed polygon with 10 sides and 10 vertices (assume that the sides do not intersect except at the vertices). Let k be the number of interior angles of P that are greater than 180^ . The maximum possible value of k is

Options

  1. A3
  2. B5
  3. C7
  4. D9

Correct answer

C. 7

Step-by-step solution

Sum of angles of closed polygon with 10 sides is 8 . So maximum number of possible obtuse angle is 7 .

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