किसी बहुभुज का आंतरिक कोण उसके बाह्य कोण से दो गुना है । बहुभुज की भुजाओं की संख्या ज्ञात करे ?

Options

A. 8
B. 6
C. 7
D. 5

Answer

A

Explanation

According to the question
=Internal angle = 2(external angle)
hindi , Internal angle + External angle = `180^(@)`
`therefore` 2External angle = External angle = `180^(@)`
3External angle=`180^(@)`
hindi =`180^(@)/3 = 60^(@)`
No. of sides = `360^(@)/("External angle")`
`=(360^(@))/(60^(@)` = 6 (no. of sides)