Question

two regular polygon has between site is 1 ratio 2 and the ratio between interior angle is 3 ratio 4 find the number of sides of a polygon​

Answer 1

Step-by-step explanation:

ANSWER

Each interior angle =

n

(2n−4)×90

∘

According to the question,

2n

(2×2n−4)×90

∘

n

(2n−4)×90

∘

=

3

2

(Ratio of number of sides is 1:2)

⇒

4n−4

(2n−4)×2

=

3

2

⇒

4n−4

2n−4

=

3

1

⇒6n−12=4n−4⇒6n−4n=12−4=8

⇒2n=8⇒n=4

Hence, number of sides in polygons are 4 and 8 respectively.