Question
The sum of the interior angle of a polygon is 1080°. How many sides does the polygon has
Answers
GPT 3.5
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.
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.