For a polygon to have an interior angle sum of 1080°, number of its sides will be 8.
Option A) polygon has 8 sides 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 n is the number of sides.
Given that;
- The sum of the interior angles S = 1080°
We substitute the value of the sum into our above equation.
S = ( n − 2 ) × 180°
1080° = ( n − 2 ) × 180°
( n − 2 ) = 1080° / 180°
n − 2 = 6
n = 6 + 2
n = 8
Therefore, for a polygon to have an interior angle sum of 1080°, number of its sides will be 8.
Option A) polygon has 8 sides is the correct answer.
Learn more about polygons here: brainly.com/question/22408868
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