किसी बहुभुज का बाहय तथा आतंरिक कोणों का अनुपात `1:17` है, तब बहुभुज की भुजाये ज्ञात करो?

Options

A. 20
B. 18
C. 36
D. 12

Answer

C

Explanation

Acording to question,
`("External angle")/("Internal angle ")=1/17`
As we know that
external angle+ internal angle = `180^(@)`
`therefore` 18 units `=180^(@)`
1units = `180^(@)/18 = 10^(@)`
`therefore` External angle = `10^(@)xx1= 10^(@)`
`therefore` no. of sides = `(360^(@))/("External angle")`
No. of sides = `360^(@)/10^(@) = 36`