Question

identify the pair of complementary angles.
a ∠rqs and ∠sqp
b ∠rqs and ∠sqt

Explanation:

Step1: Recall complementary angles

Complementary angles sum to \(90^\circ\).

Step2: Analyze the diagram

• \( \angle RQT \) is a right angle (\(90^\circ\)) as \( RQ \perp QT \) (vertical and horizontal lines).
• \( \angle RQS + \angle SQT=\angle RQT = 90^\circ\), so they are complementary.
• For option A: \( \angle RQS+\angle SQP = 180^\circ\) (supplementary, as \( RQ \) and \( PQ \) are a straight line), not complementary.

Answer:

B. \( \angle RQS \) and \( \angle SQT \)