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Taya2010 [7]
3 years ago
6

Through which angle of rotation does the image of a regular pentagon coincide with its preimage?

Mathematics
2 answers:
Grace [21]3 years ago
5 0
Since a complete turn would be of 360 and that a pentagon has 5 sides you take 360/5 =72 so each angle of 72 degrees returns the original configuration
natka813 [3]3 years ago
3 0
<h2>Answer:</h2>

The angle of rotation by which the image of a regular pentagon coincide with its pre-image is:

                                        72°

<h2>Step-by-step explanation:</h2>

Regular polygon--

A regular polygon is a polygon in which all the sides and all the interior angles are equal i.e. the polygon is equilateral and equiangular.

In general the angle of rotation of a regular n-polygon is given by:

                    \dfrac{360}{n}

where n is the number of sides in a polygon.

Here we have n=5 (pentagon)

Hence, the angle of rotation of the image is:

               \dfrac{360}{5}=72

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