The statement "If two angles are supplementary, they also form a linear pair" is true. Image B provides a counterexample to this statement. Therefore ,Image B is correct .
Two angles are supplementary if their measures add up to 180 degrees. A linear pair is two adjacent angles that together form a straight angle (180 degrees).
To prove that if two angles are supplementary, they also form a linear pair, we need to show that they are adjacent.
Let A and B be two supplementary angles.
This means that their measures add up to 180 degrees:
m(A) + m(B) = 180 degrees
In the diagram, we see that angles A and B are adjacent.
This is because they share a common vertex (point O) and a common side (ray OB).
Therefore, if two angles are supplementary, they also form a linear pair.
Counterexample:
Image B is the best counterexample for the statement "If two angles are supplementary, they also form a linear pair."
The angles in Image B are supplementary (they add up to 180 degrees), but they do not form a linear pair.
This is because they are not adjacent. They do not share a common side.
Therefore, Image B is the best counterexample for the statement.