Calculate the exterior angle of a regular polygon whose total interior angle is 720° .

Total interior angle =720°

Let the total no. of sides be 'x'

So ,

(2x-4)×90=720

=> 180x-360=720

=> 180x=720+360

=> 180x=1080

=> x=1080/180

=> x=6

So total no.of sides =6

So each exterior angle =360/no.of sides

=> Each exterior angle =360/6=60

So each exterior angle is 60° (answer)

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