Question

the sum of the measures of the angles of a polygon with n sides is given find n

Answer 1

Answer:

The polygon has 3 sides ( a triangle).

$n=3$

Explanation:

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

$(n-2)180$

where n is the number of sides of the polygon.

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

$\begin{gathered} (n-2)180=180 \\ n-2=\frac{180}{180} \\ n-2=1 \\ n=1+2 \\ n=3 \end{gathered}$

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

$n=3$