Multiple Choice Questions on The sum of all interior angles of a regular polygon is twice the sum of all its exterior angles The ........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The sum of all interior angles of a regular polygon is twice the sum of all its exterior angles The ...........

Quantitative Aptitude ( CCS) Geometry
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    The sum of all interior angles of a regular polygon is twice the sum of all its exterior angles. The number of sides of the polygon is

    10

    Incorrect Answer

    8

    Incorrect Answer

    12

    Incorrect Answer

    6

    Correct Answer
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    Explanation:

    Let the number of sides of a polygon be n. Then,
    Sum of interior angles = (2n – 4) × 90°
    Sum of exterior angles = 360°
    ∴  (2n – 4) × 90° = 2 × 360°
    2n – 4 = 8
    2n = 12
    n = 6

    By: Amit Kumar
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