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    Question

    The difference between the interior and exterior angles

    of a vertex of a regular polygon is 140°. The number of sides of the polygon is
    A 18 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 32 Correct Answer Incorrect Answer
    D 24 Correct Answer Incorrect Answer

    Solution

    According to the question, Interior angle – Exterior angle = 140°……………(i) We know, Interior angle + Exterior angle = 180°…………….(ii) Solving (i) and (ii), we get Interior angle = 320°/2 = 160° Exterior angle = 20° Therefore, number of sides = 360°/20° = 18

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