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Select the correct answer.Consider a regular polygon that has 12 congruent sides. Which angle of rotation will carry it onto itself?

Select the correct answerConsider a regular polygon that has 12 congruent sides Which angle of rotation will carry it onto itself class=

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Answer:

30 degrees

Explanation:

A regular polygon is a polygon in which all the side lengths are equal.

All regular polygons have rotational symmetry, that means it can be rotated so that the pre-image and the image are the same.

The angle by which this rotational symmetry occurs is the exterior angle of the polygon.

Given a regular polygon with 12 sides, the exterior angle is:

[tex]\frac{360}{12}=30\degree[/tex]

Therefore, the angle of rotation that will carry onto itself is 30 degrees.

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