Question 954866
Find the number of sides of a regular polygon with each interior angle equal to 140degree 


The formula to find value of each interior angle can be used to find the number of sides of the regular polygon


      Each Angle (of a Regular Polygon) = (n-2) × 180° / n


Here we know the value of angle i.e. 140 degree. 

Substitute the same in the formula above and find the value of n 
                   
               140 = (n-2) × 180° / n

Multiplying by 'n' on both sides
               
               140n = 180n -360

               140n-180n = -360
  
                  -40n = -360

Dividing by -40 on both sides we get 

                     n = 9 

the regular polygon has 9 sides i.e. its a Nonagon