Answer: C. ∠SQP and ∠TQR
Step-by-step explanation:
Since, by the given diagram,
m∠TQR = m∠SQP (vertical angles)
And, m∠TQP < m∠TQR
By adding ∠TQR on both sides,
m∠TQP + m∠TQR < m∠TQR+m∠TQR
⇒m∠TQP + m∠TQR < 2 ∠TQR
⇒ 180° < 2 m∠TQR ( Because ∠TQP and ∠TQR are linear angles)
⇒ 90° < m∠TQR
Hence ∠TQR is a obtuse angle,
⇒ ∠SQP also is a obtuse angle.
