Given:
A polygon
To find:
Sum of the interior angles of the polygon.
Solution:
Number of sides of the polygon = 5
⇒ n = 5
Sum of interior angles of a polygon formula:
[tex]\text { Sum }=(n-2) \times 180^{\circ}[/tex]
Substitute n = 5 in the formula.
[tex]=(5-2) \times 180^{\circ}[/tex]
[tex]=3 \times 180^{\circ}[/tex]
[tex]=540^{\circ}[/tex]
The sum of the interior angles of the polygon shown is 540°.
