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

1 Answer
Rimo ยท Stefan V.
Jun 4, 2018

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^@.

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