when two angles in a plane share a vertex and a side but no common interior points, they are called_________ angles ?

Adjacent Angles.

Adjacent Angles

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When two angles in a plane share a vertex and a side but no common interior points, they are called adjacent angles.

To understand this concept, let's break it down:

1. Vertex: A vertex is a common endpoint where two rays or line segments meet, forming an angle. In the case of adjacent angles, they share the same vertex.
2. Side: A side refers to one of the rays or line segments that form an angle. In this case, adjacent angles share a common side.
3. Common interior points: When two angles share common interior points, it means that they have points in their interior that overlap. However, adjacent angles specifically do not have any common interior points.

To identify adjacent angles, visually examine the angles by ensuring they have the same vertex and share a side, but do not have any points in their interior that are common.