Question

look at the diagram on the right. which pair of angles are not complementary? a. ∠tqu and ∠rqu c. ∠pqs and ∠sqt pqs and ∠tqu d. ∠sqt and ∠tqu

Explanation:

Complementary angles sum to \(90^\circ\). Let's analyze each option:

• Option A: \(\angle TQU = 35^\circ\), \(\angle RQU = 55^\circ\) (from diagram). Sum: \(35^\circ + 55^\circ = 90^\circ\), so complementary.
• Option B: \(\angle PQS = 35^\circ\), \(\angle TQU = 35^\circ\). Sum: \(35^\circ + 35^\circ = 70^\circ

eq 90^\circ\), not complementary.

• Option C: \(\angle PQS = 35^\circ\), \(\angle SQT = 55^\circ\). Sum: \(35^\circ + 55^\circ = 90^\circ\), complementary.
• Option D: \(\angle SQT = 55^\circ\), \(\angle TQU = 35^\circ\). Sum: \(55^\circ + 35^\circ = 90^\circ\), complementary.

Answer:

B. \(\angle PQS\) and \(\angle TQU\)