Answer: Number of sides of regular polygon is 2.
But with two sides it can't form polygon.
Step-by-step explanation:
Since we have given that
Measure of one interior angle is given by
[tex]9.144\textdegree[/tex]
so, As we know that to get an exterior angle , we will use "Linear pair":
Let exterior angle be x.
[tex]x+9.144\textdegree=180\textdegree\\\\x=180\textdegree-9.144\textdegree\\\\x=170.856\textdegree[/tex]
Now, we know the formula for " Number of sides ":
[tex]\text{Number of sides }=\frac{360}{x}\\\\\text{Number of sides }=\frac{360}{170.856}\\\\\text{Number of sides }=2.1\\\\\text{but number of sides can't be in decimal.So,}\\\\\text{Number of sides }=2[/tex]
Hence, Number of sides of regular polygon is 2.
But with two sides it can't form polygon.
