if in a regular polygon inner angle are double of its outer angle what is the name polygon
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The sum of interior angles of a regular polygon is twice the sum of its exterior angles.
Sum of all interior angles of a regular polygon = 180 °
(n−2) where n= number of sides of polygon
Sum of all exterior angle of a regular polygon = 360°
According to question,
180°
(n−2)=2×360°
=> (n−2) = 4
=> n=6
Number of sides of the polygon = 6
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