Respuesta :

emanshahzadi929

Answer:

18 sides

Step-by-step explanation:

We have two formulas:-

1. The interior angle of any regular polygon with n sides: [tex]180(n-2)/n[/tex]

2. The exterior angle of any regular polygon with n sides: [tex]360/n[/tex]

Solve:

[tex]180(n-2)/n=8[/tex] × [tex]360/n[/tex]

[tex]180(n-2)=8[/tex] × [tex]360[/tex]

[tex](n-2)=16[/tex]

[tex]n=18[/tex]

Hence, the shape has 18 sides.

Answer:

18

Step-by-step explanation:

Let the polygon has x sides

Each interior angle is (x-2)×180/n

Each exterior angle is 360/x

Given,

[tex] \frac{(x - 2) \times 180}{x} = \frac{360}{x} [/tex]

If you solve it, you get, x = 18

Answered by GAUTHMATH