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If the angle of rotation symmetry for a shape is 36 degrees, what is the shape of rotation?

User Morewry
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3 votes

Answer:

Regular polygon of 10 sides or 10-gon

Step-by-step explanation:

The angle of rotation symmetry is equal to

θ = 360/n

Where n is the order of rotation. In a regular polygon, the order of rotation for symmetry is the number of sides.

In this case, we can replace θ by 36 degrees and solve the equation for n

36 = 360/n

n = 360/36

n = 10

Therefore, the shape of rotation should be a regular polygon of 10 sides.

User Sieste
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