Respuesta :

Answer:

18 will be the number of sides.

Step-by-step explanation:

As we know that the sum of exterior angles of a polygon is 360°.

The formula is:

  • The exterior angle of a polygon = 360 ÷ number of sides

As each exterior angle of a regular polygon is 20°.

so putting the value exterior angle 20° in the formula

The exterior angle of a polygon = 360 ÷ number of sides

                                               20  = 360 ÷ number of sides

                                               20  = 360/number of sides

so the number of sides will be:

                         number of sides = 360/20

                                                     = 18

Therefore, 18 will be the number of sides.