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Well it could be complementary or supplementary because they don't have to share a vertex yet I think you mean something like the vertical angle. You can go research vertical angles. I'll give you a link for the vertical angles.
http://www.mathsisfun.com/geometry/vertical-angles.html
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Earn +20 ptsQ: What are angles that do not share a vertex?
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Continue Learning about Other Math
Do vertical angles have the same vertex?
Yes, since the vertex is a point and the vertical angles share that point.
What are angles formed by two intersecting lines and only share one vertex?
adjacent angles
When two angles in a plane share a vertex and a side but no common interior points they are called what angles?
opposite angles
What is the difference between adjacent and nonadjacent angles?
Adjacent angles share a vertex and one ray, while any two angles that don't share both those things are nonadjacent.
Angles share a common vertex and side but have no common interior points?
An adjacent angle
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