किसी बहुभुज का अन्तः कोण उसके बाहय कोण का 5 गुना है। बहुभुज की भुजाये ज्ञात करे?

Options

A. 14
B. 16
C. 12
D. 18

Answer

C

Explanation

According to question sum of interior angles
As we know that
Exterior angle + interior angle =`180^(@)`
Exterior angle +5 exterior angle =`180^(@)`
6 Exterior angle =`180^(@)`
Exterior angle = `30^(@)`
`therefore` No. of sides = `(360^(@))/("External angle")`
`=(360^(@))/(30^(@)) = 12`