किसी बहुभुज के कोण `30^(@)`, `36^(@)`, `50^(@)` तथा `45^(@)` में से कौन सा एक कोण बाहय कोण नहीं हो सकता है। कोण है।

Options

A. `30^(@)`
B. `36^(@)`
C. `45^(@)`
D. `50^(@)`

Answer

D

Explanation

As we know that
no. of sides = `(360^(@))/("External angle")`
No. of sides `(I-30^(@))` = `360^(@)/30^(@) = 12`
No. of sides `(II-36^(@)) = 360^(@)/36^(@)=10`
No. of sides `(III-45^(@)) = 360^(@)/36^(@) = 8`
No. of sides `(IV-50^(@)) = 360^(@)/50^(@) = 36/5`
`therefore 50^(@)` cannot be exterior angle `(50^(@))` बहाये कोण नहीं हो सकता हे