Answer:
[tex]n = 6, 72, 108, 144, 180, 216, 252, 288, 324, 360.....[/tex]
Step-by-step explanation:
Given:
[tex]Shape: Decagon[/tex]
Required
Determine the value of n
For a decagon:
[tex]Sides = 10[/tex]
[tex]Complete\ Rotation = 360\°[/tex]
First, we need to determine the angle of each rotation.
This is calculated by dividing the complete rotation with number of sides
[tex]Angle = \frac{360}{10}[/tex]
[tex]Angle = 36[/tex]
Next, we calculate the possible value of n.
Since there is no option, the general rule is that the possible value of n must be a multiple of angle of each rotation i.e. 36
Hence, n could be either of the following:
[tex]n = 6, 72, 108, 144, 180, 216, 252, 288, 324, 360.....[/tex]
