Question

the number of sides of two regular polygons are in the ratio of 4 is to 5 and their interior angles are in the ratio 25 is 226 find the number of sides of the polygon​

Answer 1

10,12

Step-by-step explanation:

Let the number of sides be 5x ang 6x

As we know that :

Each interior angle

=(2n−4)×90∘n

Given : n1n2=5x6x

Interior angle1Interior angle2=2425

∴UsingInteriorangleformula

(n1−2)180∘n1(n2−2)180∘n2=2425

5x−25x6x−26x=2425

x=2

Then, No. of sides

=5×2=10,

6×2=12

=10,12