The measure of an exterior angle of a regular polygon is 40º. Find the number of sides of the polygon?

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(1) Answers

Erasmo242

If e = measure of each exterior angle and n = number of sides, then
n = 360/e
In our case, we have e = 40, so,
n = 360/e
n = 360/40
n = 9
We have a nine sided regular polygon (also known as a regular nonagon)