If the sum of all interior angles of a regular polygon is twice the sum of all its exterior angles, then the polygon is

Explanation

The sum of interior angles of an n-sided polygon is (n-2) \times 180^\circ. The sum of exterior angles is always 360^\circ. Given: (n-2) \times 180^\circ = 2 \times 360^\circ. This gives n-2 = 4, so n = 6. A 6-sided polygon is a hexagon.

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