Answer:
The correct option is;
Angle Addition Postulate;
Step-by-step explanation:
The given two column proof can be presented as follows;
Statement [tex]{}[/tex] Reason
1. ∠PQR is a right angle [tex]{}[/tex] Given
2. m∠PQR = 90° [tex]{}[/tex] Definition of Right Angle
3. m∠PQS + m∠SQR = m∠PQR [tex]{}[/tex] Angle Addition Postulate
4. m∠PQS + m∠SQR = 90° [tex]{}[/tex] Substitution property of equality
5. ∠PQS and ∠SQR are complementary Definition of complementary angles
Given that the angle m∠PQR has angles m∠PQS and m∠SQR arranged adjacent to each other while sharing the same boundary segment, QS we have by the angle addition postulate;
m∠PQR is the sum of the angles m∠PQS and m∠SQR, therefore;
m∠PQR = m∠PQS + m∠SQR = 90°.
