Which two angles in the figure are obtuse angles?

a. ∠sqt and ∠sqr
b. ∠tqp and ∠tqr
c. ∠sqp and ∠tqr
d. ∠sqp and ∠sqr

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.

the first domain and range set to the left is matched with the top relation, and the second set the set in the middle goes with the bottom relation.