College

What is the measure of one exterior angle of a polygon that has 181 sides?

Answer :

[tex]1.98\text{ degr}ees[/tex]

Explanation

Step 1

The measure of each exterior angle of a regular polygon is given by;

[tex]Measure=\frac{360\degree}{n}[/tex]

where, n = number of sides of a polygon

then

Let

n=181 sides

Now, replace

[tex]\begin{gathered} Measure=\frac{360\degree}{n} \\ Measure=\frac{360\degree}{181} \\ Measure=1.98\text{ degr}ees \end{gathered}[/tex]

I hope this helps you

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