Question

What is the sum of the interior angles of a polygon shown below?

Answer 1

Answer: The sum of the interior angles of a polygon shown  in the picture is $540^{\circ}$.

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 :-

$(n-2)\times180^{\circ}$, 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

$(5-2)\times180^{\circ}\\\\=3\times180^{\circ}\\\\=540^{\circ}$

Hence, the sum of the interior angles of a polygon shown  in the picture is $540^{\circ}$.