Question

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

Answer 1

The polygon has 3 sides ( a triangle).

`n=3`

Step-by-step 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=(180)/(180) \\ n-2=1 \\ n=1+2 \\ n=3 \end{gathered}`

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

`n=3`