The measure of each exterior angle of a regular 15-side polygon is
24°
Step-by-step explanation:
In any regular polygon
- All sides are equal in lengths
- All angles are equal in measures
- The measure of each interior angle =
, where n is the number of its sides
- The measure of each exterior angle =
- The interior angle and the exterior angle at any vertex are supplementary
∵ The polygon is regular
∵ It has 15 sides
∴ n = 15
∵ The measure of each exterior angle =
∴ The measure of each exterior angle =
∴ The measure of each exterior angle = 24°
The measure of each exterior angle of a regular 15-side polygon is
24°
Learn more:
You can learn more about polygons in brainly.com/question/6281564
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