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

What is the sum of the interior angles of a polygon shown below?-example-1
User Wiero
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1 Answer

4 votes

Answer: The sum of the interior angles of a polygon shown in the picture is
540^(\circ).

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)*180^(\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)*180^(\circ)\\\\=3*180^(\circ)\\\\=540^(\circ)

Hence, the sum of the interior angles of a polygon shown in the picture is
540^(\circ).

User Rafols
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