Question

the number of sides of two regular polygon is in the ratio 3:2and their interior angles are in the ratio 5:3 . find the number of sides

Answer 1

Answer:

A =3/2

Explanation:

let the side of 1st polygon =3A

side of 2nd polygon =2A ,

but now according to question , we have

[ (3A-2)×180°/3A] /[ (2A-2)×180°/2A]=5/3

[(3A-2)×2A]/ [(2A-2)×3A] =5/3

(6A-4)/(6A-6)=5/3

18A-12 =30A-30 ,

30A -18A = -12 +30

30A-18A =12-30,

12A = 18

A =3/2

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