Question

The number sides of two regular polygons are in the ratio 2 : 1 and their interior angles are in the ratio 4 : 3. Find the number of sides in each polygon.

A

10 and 5

B

8 and 6

C

10 and 4

D

8 and 5

Medium

Solution

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Correct option is
A

10 and 5

The ratio between the number of sides of two regular polygons is 2:1 and the ratio of their interior angles is 4:3. 
Let number of sides of 1st polygon is and 2nd polygon is .
So, 
     and  
       and          
       and          
Then, 


 But is not exist therefore
Now,

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