Question

Which of the following given statement(s) is / are TRUE?

A: Number of diagonals in a polygon of side ‘n’ is given by n (n + 6) / 4.

B: Number of diagonals in a polygon of side is 12 are 54.

C: Any quadrilateral in which opposite angles are supplementary is called a cyclic quadrilateral.
1. A and B
2. B and C
3. All
4. A and C

Answer 1

Correct Answer - Option 2 : B and C

GIVEN:

Three statements.

CONCEPT:

Geometry

FORMULA USED:

Number of diagonals in a polygon of side ‘n’ is given by n (n - 3) / 2.

CALCULATION:

A:

Number of diagonals in a polygon of side ‘n’ is given by n (n - 3) / 2.

B:

Number of diagonals in a polygon of side is 12 = 12 (12 - 3) / 2

= (12 × 9) / 2

= 54

C:

Any quadrilateral in which opposite angles are supplementary is called a cyclic quadrilateral.

Hence, only statements B and C are TRUE.