MHB Justin's Question about Angles on Facebook

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An angle separates a plane into three distinct sets: the points on the two rays forming the angle and the points on either side of the angle, creating two regions. The concept of "exterior" in relation to an angle is unclear, as angles themselves do not have defined interior and exterior like polygons do. The vertex of an angle is the intersection point of the two rays that create the angle. Understanding these definitions is crucial for grasping the properties of angles in geometry. Clarification on the term "exterior" in this context would enhance the discussion.
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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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