Bissoy.com
Doctors Medicines MCQs Q&A

One exterior angle of a regular polygon of side ‘n’ is 120° less than one interior angle of that polygon, then what is the total number of sides in that polygon?

One exterior angle of a regular polygon of side ‘n’ is 120° less than one interior angle of that polygon, then what is the total number of sides in that polygon? Correct Answer 12

Sum of interior angles in a polygon of side ‘n’ = (n – 2) × 180°

Sum of exterior angles in a polygon of side ‘n’ = 360°

According to the question :

⇒ /n = 120°

⇒ 180n – 360° – 360° = 120°n

⇒ 60n = 720°

⇒ n = 12

Related Questions

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?
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?
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 ?
The sum of interior angle of a regular polygon is 1800°. What is the difference between an interior and an exterior angle of the regular polygon?
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.
The sum of the interior angles of a regular polygon is 2340°. What is the difference between an interior angle and an exterior angle of the polygon?
The sum of the interior angles of a regular polygon is 1260°. What is the difference between an exterior angle and an interior angle of the polygon?
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?