Question
Is it possible to have a regular polygon whose exterior angle is $: 100^\circ$
✓
Answer
Let no. of. sides $= n$
Each exterior angle $= 100^\circ$
$=\frac{360^{\circ}}{ n }=100^{\circ}$
$\therefore n =\frac{360^{\circ}}{100^{\circ}}$
$n =\frac{18}{5}$
Which is not a whole number.
Hence, it is not possible to have a regular polygon whose each exterior angle is $100^\circ .$
Each exterior angle $= 100^\circ$
$=\frac{360^{\circ}}{ n }=100^{\circ}$
$\therefore n =\frac{360^{\circ}}{100^{\circ}}$
$n =\frac{18}{5}$
Which is not a whole number.
Hence, it is not possible to have a regular polygon whose each exterior angle is $100^\circ .$
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