how many sides does a polygon have if the sum of its interior angles are

a) 1080
b) 1260
How could i figure this out without being able to know how many sides the polygon has?

Divide them by 180 to get the number of sides.

To figure out the number of sides a polygon has, given the sum of its interior angles, you can use the formula (n-2) * 180, where n represents the number of sides of the polygon.

a) For a sum of 1080 degrees:
- Substitute this value into the formula: (n-2) * 180 = 1080
- Simplify the equation: n - 2 = 6
- Add 2 to both sides of the equation: n = 8

Therefore, a polygon with a sum of interior angles equal to 1080 degrees has 8 sides.

b) For a sum of 1260 degrees:
- Substitute this value into the formula: (n-2) * 180 = 1260
- Simplify the equation: n - 2 = 7
- Add 2 to both sides of the equation: n = 9

Therefore, a polygon with a sum of interior angles equal to 1260 degrees has 9 sides.

By using the formula mentioned above, you can determine the number of sides of a polygon based on the given sum of its interior angles, even without knowing the specific polygon.