Question

question 15 (1 point)
(01.06 lc)
angle t and angle s are adjacent and form a right angle. what is the justification for the following statement?
( m angle t + m angle s = 90 ^ { circ } )
o a definition of angle bisector
o b definition of complementary angles
o c definition of perpendicular lines
o d definition of supplementary angles

Explanation:

• Definition of angle bisector: An angle bisector divides an angle into two equal parts. This has nothing to do with the sum of two angles being \(90^{\circ}\).
• Definition of complementary angles: Two angles are complementary if the sum of their measures is \(90^{\circ}\). Since \(\angle T\) and \(\angle S\) are adjacent and \(m\angle T + m\angle S=90^{\circ}\), this fits the definition of complementary angles.
• Definition of perpendicular lines: Perpendicular lines intersect at a right - angle (\(90^{\circ}\)), but this definition is about the relationship between lines, not about the sum of two angles.
• Definition of supplementary angles: Two angles are supplementary if the sum of their measures is \(180^{\circ}\), not \(90^{\circ}\).

Answer:

B. Definition of complementary angles