the measure of each exterior angle of a regular polygon of 9 sides is
The measure of each exterior angle of a regular polygon of 9 sides is
Answer:
To determine the measure of each exterior angle of a regular polygon, you can use the formula for the exterior angle of a regular polygon with ( n ) sides:
\text{Exterior Angle} = \frac{360^\circ}{n}
where ( n ) is the number of sides of the polygon.
Solution By Steps:
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Identify the Number of Sides:
- Here, ( n = 9 ) (since it’s a regular polygon of 9 sides).
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Apply the Formula:
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Substitute ( n = 9 ) into the formula.
\text{Exterior Angle} = \frac{360^\circ}{9}
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Perform the Division:
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Calculate the division:
\frac{360^\circ}{9} = 40^\circ
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Final Answer:
The measure of each exterior angle of a regular polygon with 9 sides is 40^\circ .