Question

the ratio of exterior angle to interior angle of a regular polygon is 1:14 respectively. find the number of sides of the polygon. ​

Answer 1

Answer:

Exterior Angle = 360/n

Interior angle = (n-2)/n*180

The given ratio of exterior angle to interior angle of a regular polygon is 1:14.

∴ 360/n/(n-2)/n*180=1/14

2/n-2=1/14

⇒ 28=n−2

⇒ 30=n

∴ n=30

∴ Number of sides of polygon is 30.

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Answer 2

Answer:

30 = No. of sides

Step-by-step explanation:

exterior angle = 360/9

interor angle =(n-2)* 180 degree/n

ratio =360/n/(n-2) *180degree /n =1/14

2/n-2. =1/14

n-2 =28

no. of sides =30

answer 30 sides