Which of the following statement(s) given below is / are TRUE?A: Sum o

1.	Which of the following statement(s) given below is / are TRUE?A: Sum of exterior angle of triangle is less than the sum of exterior angle of a quadrilateral.B: Sum of interior angles of a polygon is (n - 1) × 90° (‘n’ is number of sides.)C: Interior angle of regular polygon is 72°, then measure of its corresponding exterior angle is 108°. 1. A2. C3. B4. A and B
Answer» Correct Answer - Option 2 : C GIVEN: Three statements. CONCEPT: Geometry FORMULA USED: Sum of interior angles of a polygon = (n - 2) × 180° CALCULATION: A: We know that: Sum of exterior angle of a polygon is always 360°. So, sum of exterior angle of a triangle = Sum of exterior angle of a quadrilateral. B: Sum of interior angles of a polygon is given by (n - 2) × 180° Where: ‘n’ = Number of sides C: We know that: Sum of interior and exterior angle of a polygon is always 180°. Sum of interior and exterior angle = 72° + 108° = 180° Hence, only statement C is TRUE.

Which of the following statement(s) given below is / are TRUE?A: Sum of exterior angle of triangle is less than the sum of exterior angle of a quadrilateral.B: Sum of interior angles of a polygon is (n - 1) × 90° (‘n’ is number of sides.)C: Interior angle of regular polygon is 72°, then measure of its corresponding exterior angle is 108°. 1. A2. C3. B4. A and B

Answer» Correct Answer - Option 2 : C

GIVEN:

Three statements.

CONCEPT:

Geometry

FORMULA USED:

Sum of interior angles of a polygon = (n - 2) × 180°

CALCULATION:

We know that:

Sum of exterior angle of a polygon is always 360°.

So, sum of exterior angle of a triangle = Sum of exterior angle of a quadrilateral.

Sum of interior angles of a polygon is given by (n - 2) × 180°

Where:

‘n’ = Number of sides

We know that:

Sum of interior and exterior angle of a polygon is always 180°.

Sum of interior and exterior angle = 72° + 108° = 180°

Hence, only statement C is TRUE.