Answer:
12 sides
Step-by-step explanation:
Given
[tex]Sum =1800^o[/tex]
Required
The number of sides of the polygon
The sum of interior is calculated using:
[tex]Sum = 180 * (n - 2)[/tex]
Where
[tex]n \to[/tex] number of sides
So, we have:
[tex]Sum = 180 * (n - 2)[/tex]
[tex]1800 = 180 * (n - 2)[/tex]
Divide both sides by 180
[tex]10 = n - 2[/tex]
Add 2 to both sides
[tex]12= n[/tex]
[tex]n=12[/tex]