Question
Is it possible to have a regular polygon whose exterior angle is : $36^\circ$
✓
Answer
Let no. of. sides $= n$
Each exterior angle $= 36^\circ$
$=\frac{360^{\circ}}{ n }=36^{\circ}$
$\therefore n =\frac{360^{\circ}}{36^{\circ}}$
$n = 10$
Which is a whole number.
Hence, it is not possible to have a regular polygon whose each exterior angle is $36^\circ .$
Each exterior angle $= 36^\circ$
$=\frac{360^{\circ}}{ n }=36^{\circ}$
$\therefore n =\frac{360^{\circ}}{36^{\circ}}$
$n = 10$
Which is a whole number.
Hence, it is not possible to have a regular polygon whose each exterior angle is $36^\circ .$
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