Answer:
[tex]Minimum = 51^{\circ}[/tex]
Step-by-step explanation:
Given:
[tex]Shape = Heptagon[/tex]
Required
Determine the least angle of rotation that places the heptagon on itself
First, we write out the number of sides of a heptagon
[tex]Sides = 7[/tex]
Next, we write out the measure of 1 complete rotation
[tex]1\ Complete\ Rotation = 360^{\circ}[/tex]
The minimum angle of rotation is then calculated as:
[tex]Minimum = \frac{1\ Complete\ Rotation}{Sides}[/tex]
[tex]Minimum = \frac{360^{\circ}}{7}[/tex]
[tex]Minimum = 51.4285714286^{\circ}[/tex]
[tex]Minimum = 51^{\circ}[/tex]
Hence, the minimum rotation angle is [tex]51^{\circ}[/tex]
