MathematicsThe measure of each angle of a polygon is  160 ∘  . The number of its sides is?

The measure of each angle of a polygon is  160  . The number of its sides is?


  1. A
    15
  2. B
    18
  3. C
    20
  4. D
    30 

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    Solution:

     The interior angle of a polygon of n sides is given by,
    Angle = (n2) 180 ° n 160 ° = (n2) 180 ° n 160 ° n=180n 360 ° 180 ° n 160 ° n= 360 ° 20 ° n= 360 ° n= 360 ° 20 ° n=18  
    Hence, the correct option is 2.
     
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