SSC CHSL Model Paper 20

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Question : 66 of 100

Marks: +1, -0

The number of sides in two regular polygons are in ratio

5:4

and difference between their angles is 6°.The number of sides in the polygons are

18 and 15
12 and 13
20 and 16
15 and 12

Solution:

Let the sides be

n_1

and

n_2

Then ,

n_1/n_2=5/4

or

n_1=5n

and

n_2=4n

Now,

{(2n_1-4)×90}/n_2

-{2n_-2-4×90}/n_2=6

{(10n-4)×90}/{5n}

-{8n-4×90}/{4n}=6

⇒ n = 3

Number of sides = 15,12

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