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
- A3
- B5
- C7
- 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 .