Final answer:
The statement is true. When two lines intersect, the bisectors of a pair of adjacent angles are perpendicular to each other.
Step-by-step explanation:
The statement "If two lines intersect, then the bisectors of a pair of adjacent angles are perpendicular to each other" is true.
This statement is based on the property of angles formed when two lines intersect, which is that the adjacent angles are supplementary. That means their measures add up to 180 degrees.
The bisectors of adjacent angles would divide each angle into two equal parts. Since the angles are supplementary, each angle would measure 90 degrees, making the bisectors perpendicular to each other.