If the sum of all interior angles of a regular polygon is 14 right angles, then its number of sides is :

  1. 9
  2. 7
  3. 6
  4. 8
Anurag Mishra Professor Asked on 29th December 2015 in Maths.
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  • 1 Answer(s)

    Answer is 9 

    Explanation:-
    The sum of all interior angles of a regular polygon = 14 right angle
    = 14 x 90
    = 1260º

    Formula-
    The sum of all interior angles of a regular polygon = (n – 2) 180º 

    Given-
    The sum of all interior angles of a regular polygon = 1260º 

    Then,  (n – 2) 180º = 1260º
    n – 2 = 1260º/180º
    n – 2 = 7
    n = 7 + 2
    n = 9

    Then, the side of the polygon is 9.

    Hence, the correct answer is option (1) 9.

    Monis Rasool Professor Answered on 29th December 2015.
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