6. Choose the correct answer.
Find the measure of each exterior angle of the regular nonagon.
$1620^{\circ}$
$140^{\circ}$
$1260^{\circ}$
$40^{\circ}$
$360^{\circ}$

Answer

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Answer

Final Answer: The measure of each exterior angle of the regular nonagon is $\boxed{40^{\circ}}$

Steps

Step 1 ：A nonagon is a polygon with 9 sides.

Step 2 ：The formula to find the measure of each exterior angle of a regular polygon is $\frac{360}{n}$, where n is the number of sides.

Step 3 ：In this case, n=9.

Step 4 ：Substitute n=9 into the formula: $\frac{360}{9} = 40.0$

Step 5 ：Final Answer: The measure of each exterior angle of the regular nonagon is $\boxed{40^{\circ}}$