किसी बहुभुज का आतंरिक कोण, उसके बाहय कोण से `132^(@)` अधिक है, बहुभुज की भुजाये ज्ञात करो?

Options

A. 14
B. 12
C. 15
D. 16

Answer

C

Explanation

According to question,
interior angle -Exterior angle = `132^(@)` …………..(i)
Interior angle - Exterior angle =`132^(@)`…………(ii)
2 interior angle = `312^(@)`
Interior angle = `156^(@)`
Put this value in equation (i) and (ii)
`therefore` Exterior angle =`180^(@)-156^(@)=24^(@)`
`therefore` No. of sides = `(360^(@))/24^(@)= 15`