Question 45
Circle TheoremsIn the diagram TU is a tangent to the circle SPQR at P. If ∠PTS = 44° and ∠SQP = 35°, find ∠PST.
- A.101°
- B.125°
- C.130°
- D.135°
Show the answer and explanation
Answer: A (101°)
Explanation
By the alternate segment theorem, ∠SPT = ∠SQP = 35°. In triangle PST, ∠PST = 180° − 44° − 35° = 101°.