Math, asked by eramtaiyaba4571, 1 year ago

If each intetior angle is double of each exterior angle of a regular polygon with n sides, then the value of n is

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Answered by tina9961
3
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Answered by ChankitSaini
0

Let the exterior angle be x.

Then the interior angle will be double to its exterior angle = 2x.

Then x + 2x = 180

          3x = 180

          x = 60.

Therefore exterior angle = 60.

We know that the size of an exterior angle for a regular polygon = 360/n

 = 360/60

= 6.

Therefore the number of sides in the polygon = 6.

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