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3 years ago

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

Mathematics

1 answer:

GREYUIT [131]3 years ago

7 0

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 $540^{\circ}$ .

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