Justin's Question about Angles on Facebook

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SUMMARY

An angle separates a plane into three distinct sets: the points on the two rays that form the angle, and the points located on either side of the angle, effectively dividing the plane into two regions. The vertex of an angle, defined as the intersection point of the two rays, is not considered to be in the exterior of the angle. The discussion clarifies the distinction between interior and exterior angles, particularly in the context of polygons, but emphasizes that for a single angle, the concept of exterior is not applicable.

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Justin on Facebook writes:

help me answer two questions pls
1. into how many sets does an angle separate a plain?
2. is the vertex of an angle in its exterior? why?
 
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Hi Justin, :)

An angle will separate the plane into three sets. First you have the points which lie on the two lines that make up the angle. Then you have points which lie on the either side of the angle (since the two rays which make the angle divides the plane into two parts).

For the second part I don't quite understand what you mean by the exterior. For polygons there are interior and exterior angles but for an angle itself what is meant by interior and exterior? The vertex is the intersection point of the rays that make up the angle.
 

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