How many sides does a regular polygon have if its each angle is of measure 108o?

(a) 6
(b) 7
(c) 8
(d) 5

Anurag Mishra Professor Asked on 23rd February 2016 in Maths.
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  • 1 Answer(s)

    Answer: (d) 5

    Solution:-
    Each angle of a polygon = 108 degree
    Let the the side of a polygon be n.

    Formula-
    Each angle of a polygon = (n – 2) 180/n

    Then, (n – 2) 180/n = 108
    180 n – 360 = 108 n
    180 n – 108 n = 360
    72 n = 360
    n = 360/72
    n = 5

    Then, the number of side of the polygon is 5.

    Hence, the correct answer is option is (d) 5.

    Anurag Mishra Professor Answered on 25th February 2016.
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