Question

in the figure shown, which pair of angles must be complementary?

∠pqs and ∠sqr

∠pqt and ∠tqs

∠pqt and ∠tqr

∠pqt and ∠pqs

Explanation:

Step1: Recall complementary - angles definition

Two angles are complementary if their sum is 90 degrees.

Step2: Analyze the given figure

We see that $\angle PQS$ and $\angle SQR$ form a right - angle at $Q$, so $\angle PQS+\angle SQR = 90^{\circ}$.

Answer:

$\angle PQS$ and $\angle SQR$