Answer: The sum of the interior angles of a polygon shown in the picture is [tex]540^{\circ}[/tex].
Step-by-step explanation:
The given polygon is a regular pentagon having 5 sides.
The sum of the interior angles of a regular polygon is given by :-
[tex](n-2)\times180^{\circ}[/tex], wherer n= number of sides of the regular polygon.
Since it has 5 sides, then the sum of the interior angles of a polygon would be
[tex](5-2)\times180^{\circ}\\\\=3\times180^{\circ}\\\\=540^{\circ}[/tex]
Hence, the sum of the interior angles of a polygon shown in the picture is [tex]540^{\circ}[/tex].
