Question

Which of the following can be one of the angles of a regular polygon ?
A. `150^(@)`
B. `135^(@)`
C. `120^(@)`
D. All of these

Answer 1

Correct Answer - D
Sum of the angles of a regular polygon of N sides `=180 (N-2)^(@)`.
Each of its interior angle`=((180(N-2))/(N))^(@)`
`=((180(N-2))/(N))^(@)=150^(@)implies N=12`
`=((180(N-2))/(N))^(@)=135^(@)implies N=8`
`=((180(N-2))/(N))^(@)=120^(@)implies N=6`
`:.` Option (d) follows.
Hence, the correct option is (d).