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Q.

If one of the interior angles of a regular polygon is equal to 56  times of one of the interior angles of a regular pentagon, then the number of sides of the polygon is

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a

22

b

6

c

3

d

4

answer is B, D.

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Detailed Solution

One of interior angles of a regular polygon =56 one of the interior angle of regular pentagon

(n−2)180°n=56.(5−2)180°5

(n−2)180°n=3×30°1

180°n−360°=90°n

180°n−90°n=360°

90°n=360°

∴ Sides of polygon n=4

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