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Answer :

Answer:

The Answer should be 9

140-180=40

360÷40=9

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