Respuesta :

Answer:

The polygon has 3 sides ( a triangle).

[tex]n=3[/tex]

Explanation:

The sum of the angles of a polygon can be written as;

[tex](n-2)180[/tex]

where n is the number of sides of the polygon.

Given that the sum of the angles in the polygon is 180 degree;

[tex]\begin{gathered} (n-2)180=180 \\ n-2=\frac{180}{180} \\ n-2=1 \\ n=1+2 \\ n=3 \end{gathered}[/tex]

Therefore, the polygon has 3 sides ( a triangle).

[tex]n=3[/tex]