Question 36
Circle TheoremsIn the diagram below, O is the centre of the circle. If ∠QOR = 290°, find the size of ∠QPR.
- A.110°
- B.70°
- C.55°
- D.35°
- E.20°
Show the answer and explanation
Answer: D (35°)
Explanation
The 290° is the reflex angle on P's side, so the angle at O facing arc QR is 360° − 290° = 70°. The angle at the circumference is half of it: 35°.