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    Question

    Find the number of sides in a regular polygon if its

    each interior angle is 160°.
    A 17 Correct Answer Incorrect Answer
    B 14 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer

    Solution

    Formula:

    Each interior angle of a regular polygon =

    Given:

    On Solving we get,

    180(n − 2) = 160n

    ⇒ 180n − 360 = 160n

    ⇒ 20n = 360

    ⇒ n = 18

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