Answer: [tex]n=12[/tex]
Step-by-step explanation:
You can observe that the formula for the sum of the interior angles of a polygon is:
[tex]sum=(n-2)180[/tex]
Where "n" is the number of sides of the polygon.
You know that the sum of the interior angles of this polygon is 1,800 degrees. Therefore, you can find the number of sides by substituting this sum into the formula and then solving for "n".
Then:
[tex]1,800=(n-2)180\\\\\frac{1,800}{180}=n-2\\\\10=n-2\\\\10+2=n\\\\n=12[/tex]
