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PLEASE HELP !!! What is the smallest degree of rotation that will map a regular 96- gon onto itself I will give brainliest
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PLEASE HELP !!! What is the smallest degree of rotation that will map a regular 96- gon onto itself
I will give brainliest
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Mathematics
5 years
2021-08-06T01:42:55+00:00
2021-08-06T01:42:55+00:00 1 Answers
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Answer:
Step-by-step explanation:
What an interesting question!
The question is whether you use the interior or exterior angle. Let’s take a few examples and see if we can answer that.
Equilateral triangle: would take 120 degrees.
Square: you can’t tell, but 90 degrees would be a good choice.
Pentagon: 72 degrees
Hexagon: 60 degrees
Octagon: 45.
It looks like the pattern is just to take the number of sides and divide it into 360.
Hence for a 96 n-gon the answer would be 360 / 96 = 3.75