The number of sides of a polygon with the given sum of interior angles is 5.
Option A)5-sided figure is the correct answer.
What is a polygon?
A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.
The formula for calculating the sum of interior angles of a polygon is;
S = ( n − 2 ) × 180°
Where S is the sum and n is the number of sides.
Given that the sum of the interior angles equal to 540°.
From the above expression;
S = ( n − 2 ) × 180°
540° = ( n − 2 ) × 180°
540° = 180°n − 360°
180°n = 540° + 360°
180°n = 900°
n = 900° / 180°
n = 5
The number of sides of a polygon with the given sum of interior angles is 5.
Option A)5-sided figure is the correct answer.
Learn more about polygons here: brainly.com/question/22408868
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