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Answer:
9
Step-by-step explanation:
size of each interior angle can be represented by: [tex]140^{o} = 180^{o}[/tex]•[tex]\frac{(n-2)}{n}[/tex]
solve for n:
[tex]140^{o} = 180^{o}[/tex]•[tex]\frac{(n-2)}{n}[/tex] multiply both sides by n
140ºn = 180º(n - 2) distribute 180º to (n - 2)
140ºn = 180ºn - 360º subtract 180ºn from both sides
-40ºn = -360 divide both sides by -40º
n = 9