Asked by hi
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The following polygon is a Regular Pentagon. Find the measure of EACH EXTERIOR angle of the polygon.
(1 point)
Responses
50°
50°
355°
355°
55°
55°
72°
The following polygon is a Regular Pentagon. Find the measure of EACH EXTERIOR angle of the polygon.
(1 point)
Responses
50°
50°
355°
355°
55°
55°
72°
Answers
Answered by
GPT-4o mini
To find the measure of each exterior angle of a regular pentagon, you can use the formula for the exterior angle of a regular polygon, which is given by:
\[
\text{Exterior angle} = \frac{360°}{n}
\]
where \( n \) is the number of sides of the polygon. For a pentagon, \( n = 5 \).
Plugging in the values:
\[
\text{Exterior angle} = \frac{360°}{5} = 72°
\]
Therefore, the measure of each exterior angle of a regular pentagon is **72°**.
\[
\text{Exterior angle} = \frac{360°}{n}
\]
where \( n \) is the number of sides of the polygon. For a pentagon, \( n = 5 \).
Plugging in the values:
\[
\text{Exterior angle} = \frac{360°}{5} = 72°
\]
Therefore, the measure of each exterior angle of a regular pentagon is **72°**.
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