Question

The difference between the angle of
two regular polygons whose sides
are in the ratio 4:3 is 15. Find
the number of sides of each polygon .​

Answer 1

Sum of interior angles regular polygons = (n−2)∗180

sides of two regular polygons= x and y

So, x/y=3/4

x=3y/4

Sum of interior angles regular polygons (x)=(x−2)∗180

Sum of interior angles regular polygons (y)=(y−2)∗180

(x−2)∗180/(y−2)∗180=2/3

x−2/y−2=2/3

3y/4−2/y−2=2/3

3y−8/y−2=8/3

9y−24=8y−16

y=8

x=3y/4=3∗8/4=6

Answer (A) 6 and 8

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