Ahar Arestian
Question 10

Find the measure of each extevios angle of a regular dedecagon.

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Ahar Arestian Question 10 Find the measure of each extevios angle of a regular dedecagon. $$ \square $$

UpStudy AI · Accepted Answer

A **regular decagon** is a 10-sided polygon where all sides and interior angles are equal. To find the measure of each **exterior angle**, you can use the following formula:

$$
\text{Sum of Exterior Angles} = 360^\circ
$$

Since all exterior angles in a regular polygon are equal, you divide the total sum by the number of sides:

$$
\text{Measure of Each Exterior Angle} = \frac{360^\circ}{n}
$$

Where $$ n $$ is the number of sides.

For a **decagon** ($$ n = 10 $$):

$$
\text{Measure of Each Exterior Angle} = \frac{360^\circ}{10} = 36^\circ
$$

**Therefore, each exterior angle of a regular decagon measures 36 degrees.**

$$
\boxed{36^\circ}
$$
Each exterior angle of a regular decagon measures 36 degrees.

Ahar Arestian
Question 10

Find the measure of each extevios angle of a regular dedecagon.

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