A polygon has n sides, the number of diagonals in this polygon is:

1. $\dfrac{1}{2}n(n - 1)$

2. $\dfrac{1}{2} \times n(n - 2)$

3. $\dfrac{1}{2} \times n(n - 3)$

4. $\dfrac{1}{2} \times n(n - 4)$

The interior angle of a regular polygon is four times its exterior angle. The number of sides in the polygon is:

1. 12

2. 10

3. 15

4. 18

Statement 1: A polynomial whose one or more interior angle is less than two right angles is called a convex polygon.

Statement 2: The line joining any two consecutive vertex of a triangle of a polygon is called its diagonal.

Which of the following options is correct?

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.

Assertion (A) : It is possible to have a regular polygon the sum of whose interior angle is 1000°.

Reason (R) : The sum of the interior angle of a polygon with n sides = (2n - 4) x 90°.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. A is false, but R is true.