Consider the following statements: (1) If n ≥ 3 and m ≥ 3 are distinct positive integers, then the sum of exterior angles of a regular polygon of m sides is different from the sum of exterior angles of regular polygon of n sides (2) Let m, n be integers such that m > n ≥ 3. Then the sum of the interior angles of regular polygon of sides is greater than the sum of interior angles of a regular polygon of n sides, and their sum is (m + n)π/2 Which of the above statements is/are correct?

Consider the following statements: (1) If n ≥ 3 and m ≥ 3 are distinct positive integers, then the sum of exterior angles of a regular polygon of m sides is different from the sum of exterior angles of regular polygon of n sides (2) Let m, n be integers such that m > n ≥ 3. Then the sum of the interior angles of regular polygon of sides is greater than the sum of interior angles of a regular polygon of n sides, and their sum is (m + n)π/2 Which of the above statements is/are correct? Correct Answer Neither 1 nor 2

Statement I:

The sum of exterior angles of any polygon is always 360°

⇒ Statement I is false

Statement II:

Sum of interior angles of m sides polygon = (m – 2) × 180°

Sum of interior angles of m sides polygon = (n – 2) × 180°

⇒ Their sum = (m + n – 4) × 180°

⇒ Statement II is false

∴ Neither statement I nor II is true.
Bissoy MCQ

Related Questions

The number of sides of polygon A is 6 more than the number of sides of polygon B. Interior angle of polygon A is 10° more than the interior angle of polygon B. Find the interior angle of polygon whose side is equal to sum of number of sides of polygon A and B.
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°. 
Consider the following statements. A) A regular polygon whose exterior angle between 75° and 85°. B) Ratio of interior angle to exterior angles having 5 sides of a polygon is 3 : 2. C) A polygon whose number of diagonals is 7. Which statement(s) is/are true?
Consider the following statements: 1. There exists a regular polygon whose exterior angle is 70°. 2. Let n ≥ 5. Then the exterior angle of any regular polygons of n sides is acute. Which of the above statements is/are correct?
The number of sides of two regular polygons are in the ratio 5 : 4. The difference between their interior angles is 9°. Consider the following statements: 1) One of them is pentagon and the other is a rectangle. 2) One of them is decagon and the other is an octagon. 3) The sum of their exterior angles is 720°. Which of the above statements is/are correct?
March List I with List II :   List I   List II (A) Supplementary angles (I) Angles less than 90° (B) Complementary angles (II) Two angles whose sum is 180° (C) Acute angles (III) Angles greater than 90° but less than 180° (D) Obtuse angles (IV) Two angles whose sum is 90° Choose the correct answer from the options given below :
The sum of interior angle of a regular polygon is twice the sum of its exterior angles. Find the sum of interior angle of the polygon.
Find the regular polygon whose interior angel is 150 more than exterior angle. note the total sum of interior and exterior angle should be 180 at one point ?
If the difference between interior and exterior angle of a regular polygon is 60° then what is the sum of interior angles of the polygon?
There are six friends who have different height and they stand according to their height information as given below. Q is greater than P and S. M is greater than P. T is greater than P who is greater than O. M is greater than Q. T is smaller than Q. Who among the following is the smallest in height?