Problem

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

Solution

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 \(\boxed{40^{\circ}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/17408/

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