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Which of the following can be one of the...

Which of the following can be one of the angles of a regular polygon ?

A

`150^(@)`

B

`135^(@)`

C

`120^(@)`

D

All of these

Text Solution

Verified by Experts

The correct Answer is:
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).
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