Question

State which postulate, definition, or theorem justifies the statement about the diagram.

$m\angle AEB+m\angle BEF=180$

Short answer

The definition of pair of Linear Angles justifies the statement about the diagram.

Step-by-step solution

Step 1. Observe the given diagram.

The diagram constitutes a straight-line AEF and two other lines meet the line AEF at point E.

Step 2. State the definition of pair of Linear Angles.

When two lines intersect, two adjacent angles are formed. These adjacent angles are known as a linear pair and some of these two angles are 180.

Step 3. State the conclusion

Considering the given diagram and the statement $m\angle AEB+m\angle BEF=180$.

The definition that justifies the statement about the diagram is the definition of a pair of linear angles.