Question

It is possible to design a regular polygon whose measures of each exterior angle is 50 . Yes /no give reason ?

Answer 1

No, you cannot make a regular polygon with each exterior angle of `50^@`.

Explanation:

As we know, each exterior angle of a regular polygon (with `n` sides) is equal and these angles add up to `360^@`.

`"exterior angle" xx n = 360^@`

`=> 50^@xx n =360^@`

`=> n = 360^@/50^@`

`=> n = 7.2`

Now, a polygon cannot have `7.2` sides. Hence, the exterior angle of a regular polygon cannot be `50^@`.