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15 September, 19:27

If the difference between the exterior angle of a n sided regular polygon and an (n 1) sided regular polygon is 12. find the value of n.

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  1. 15 September, 19:42
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    Sum of exterior angle of a polygon is 360°

    An n-sided polygon has n equal exterior angles.

    360/n - 360 / (n + 1) = 12

    360 (n + 1) - 360n = 12n (n + 1)

    12n^2 + 12n = 360

    n^2 + n - 30 = 0

    (n - 5) (n + 6) = 0

    n = 5 or n = - 6

    Therefore, n = 5
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