Question

two regular ploygon are such the ratio between their number of side is 1:3 and the ratio of measure their interior angles is 4:7 .find t​

Answer 1

Let the number of sides of Polygon 1 =x

Let the number of sides of Polygon 2=y

We are given that

yx = 21 ----(1)

Interior angles of Polygon 1 = x (x−2)π

​

Interior angles of polygon 2 = y(y−2)π

​

Taking their ratios, we get

x(y−2) y(x−2) = 43 -----(2)

Solving simultaneous equations (1) and (2),

we get x=5,y=10

Answer 2

Answer:

x=5,y=10

Step-by-step explanation:

Let the number of sides of Polygon 1 = x

Let the number of sides of Polygon 2 = y

We are given that  

y

x

​  

 =  

2

1

​  

 ----(1)

Interior angles of Polygon 1 =  

x

(x−2)π

​  

 

Interior angles of polygon 2 =  

y

(y−2)π

​  

 

Taking their ratios, we get

x(y−2)

y(x−2)

​  

 =  

4

3

​  

-----(2)

Solving simultaneous equations (1) and (2),

we get x=5,y=10

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