Question
Is it possible to have a regular polygon each of whose exterior angles is $50^\circ ?$
✓
Answer
Each exterior angle of an n-sided polygon $=\Big(\frac{360}{\text{n}}\Big)^\circ$ If the exterior angle is $50^\circ $,
then: $\frac{360}{\text{n}}=50$
$\Rightarrow\text{n}=7.2$
then: $\frac{360}{\text{n}}=50$
$\Rightarrow\text{n}=7.2$
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