Statement 1: The sum of the interior angles of a regular polygon is twice of the sum of its exterior angles.

Statement 2: Number of sides(n) of the polygon is 6.

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

It is given that the sum of interior angles of a regular polygon is twice the sum of its exterior angles.

Sum of all exterior angles of any polygon (regular or irregular) is always 360°.

Sum of all interior angles of an n-sided polygon (regular or irregular) is (n - 2) x 180°.

According to statement 1,

⇒ (n - 2) x 180° = 2 x 360°

⇒ (n - 2) x 180° = 720°

⇒ 180°n - 360° = 720°

⇒ 180°n = 720° + 360°

⇒ 180°n = 1080°

⇒ n = $\dfrac{1080°}{180°}$ = 6

Thus, the number of sides is 6.

∴ Both the statements are true.

Hence, option 1 is the correct option.