The sum of the interior angle of a polygon is 1080°. How many sides does the polygon has

Answer 1

To find the number of sides a polygon has, we can use the formula for the sum of interior angles. The formula is given by:

Sum = (n-2) * 180

Where n is the number of sides.

Substituting the given sum of interior angles (1080°) into the formula:

1080° = (n-2) * 180

Dividing both sides by 180 to isolate (n-2):

1080° / 180 = n-2

6 = n-2

Adding 2 to both sides:

6 + 2 = n-2 + 2

8 = n

Therefore, the polygon has 8 sides.