Question 35
Circle TheoremsThe diagram shows triangle PQR inscribed in a circle. PS is a tangent to the circle at P. Find ∠PRQ.
- A.49°
- B.58°
- C.73°
- D.131°
Show the answer and explanation
Answer: A (49°)
Explanation
By the alternate segment theorem ∠PQR = ∠RPS = 73°. With ∠QPR = 58°, ∠PRQ = 180° − 58° − 73° = 49°.