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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