Each interior angle of a regular polygon is double of its exterior angle find the number of sides in the polygon.
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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.
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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