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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