किसी बहुभुज के आतंरिक कोण का मान कभी भी नहीं हो सकता है।

Options

A. `150^(@)`
B. `105^(@)`
C. `108^(@)`
D. `144^(@)`

Answer

B

Explanation

According to question
`=((2n-4)xx90^(@))/(n) = 180^(@) - 360/n`
a) `150^(@) = 180^(@)-360^(@)/n`
`(360^(@))/n = 30^(@)`
n=12
b) `105^(@) = 180^(@)-360^(@)/n`
`360^(@)/n=75^(@)`
`n=24/5`
c) `108^(@)=180^(@)-360^(@)/n`
`360^(@)/n = 36^(@)`
n=10
`therefore`Only `105^(@)` angle which can never be interior angle of regular polygon.