Question

    The difference between each Internal angle and each

    external angle of a polygon is 60°. Find the number of Sides.
    A 8 Correct Answer Incorrect Answer
    B 5 Correct Answer Incorrect Answer
    C 6 Correct Answer Incorrect Answer
    D 7 Correct Answer Incorrect Answer

    Solution

    Internal Angle of a Polygon = ((n-2)×180°)/n External Angle of a Polygon = (360°)/n ((n-2)×180°)/n  - (360°)/n = 60° ((n-2)×3)/n -   6/n = 1 (3n-6-6)/n = 1 3n – 12 = n n = 6

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