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First of all, you need a regular polygon, otherwise the question can have all sorts of interior angles. The standard way to solve this is set up an equation that looks like this.
(n - 2)*180 = 1080 Divide by 180
(n - 2) = 1080/180
n - 2 = 6 Add 2 to both sides.
n = 6 + 2
n = 8
Conclusion
So an 8 sided figure has 8 interior angles that add up to 1080 if the 8 sided figure is regular.
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