For pentagon the angle at the centre is 360 ° 5 for hexagon it is 360 ° 6 so would the angle at the centre of a polygon of n sides be 360 ° n ?

Given, the angle made by pentagon at the centre is 360 ° 5 ; We can observe that, for a pentagon, the number of sides are 5 . Also, given for a hexagon, the angle made at the centre is 360 ° 6 : We also know that, for a hexagon the number of sides is 6 . From that, we can observe that, angle at the centre is 360 ° number of sides . Thus, for a polygon having n sides, the angle made at the centre is 360 ° n .

For pentagon the angle at the centre is 360 ° 5 for hexagon it is 360 ° 6 so would the angle at the centre of a polygon of n sides be 360 ° n ?

Given, the angle made by pentagon at the centre is 360 ° 5 ; We can observe that, for a pentagon, the number of sides are 5 . Also, given for a hexagon, the angle made at the centre is 360 ° 6 : We also know that, for a hexagon the number of sides is 6 . From that, we can observe that, angle at the centre is 360 ° number of sides . Thus, for a polygon having n sides, the angle made at the centre is 360 ° n .