A common side is a line that is one side of each of two figures. For example, if you draw a square with a line connecting two opposite corners, that line is the common side of the two triangles that are formed.
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Adjacent angles have a common side and a common vertex.
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An adjacent angle
Two angles that share a common side and add up to 180 degrees are called right angles and are 90 degrees.
An angle is the intersection of two rays with a common endpoint. Adjacent Angles are 2 angles that share a common vertex, a common side and no common interior points.