Question

The exterior angle of a regular polygon is one third of its interior angle. How many side the polygon has????​

Answer 1

Answer:

interior angle  = x

exterior angle = 1/3.x

                       =x/3

sol:

      x+x/3=180

      3.x+x/3= 180

      4.x/3 =  180

       4.x = 180*3

         4*x=  540

         x = 540/4

         x = 135

     

        interior° = 135°

         exterior°n = x/3°

                          =135/3°

                         =45°

side of polygon = 360/45

                          =8

ANSWER : 8 SIDES