Asked by Anonymous
find the number of degrees in the point angle of a 92 star polygon
Answers
Answered by
Reiny
You could easily work it out by following a pattern.
construct a "star polygon" on a pentagon.
It can be easily shown that the angle at each point is 36º, and notice 5*36 = 180
now construct a star polygon on a hexagon.
Again, it is easy to show that each point angle is 30º, and sure enough 6*30 = 180
So what would be your conclusion about the point angel of a 92-gon ?
construct a "star polygon" on a pentagon.
It can be easily shown that the angle at each point is 36º, and notice 5*36 = 180
now construct a star polygon on a hexagon.
Again, it is easy to show that each point angle is 30º, and sure enough 6*30 = 180
So what would be your conclusion about the point angel of a 92-gon ?
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