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    Question

    Difference between the interior and exterior angles of

    regular polygon is 60°. How many sides are there in the polygon?
    A 6 Correct Answer Incorrect Answer
    B 7 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 9 Correct Answer Incorrect Answer

    Solution

    Let interior angle be x and exterior angle be y. We know x + y = 180° …(i) Given that x – y = 60° …(ii) After solving these two equations, x = 120° and y = 60° ∴ Number of sides = (360°)/(Exterior angle ) = (360°)/(60°) = 6

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