Question 5
Circle TheoremsIn the diagram, OP and OR are radii, |PQ| = |QR| and reflex ∠POR is 240°. Calculate the value of x.
- A.60°
- B.55°
- C.50°
- D.45°
Show the answer and explanation
Answer: A (60°)
Explanation
∠POR = 360° − 240° = 120° and ∠PQR = ½ × 240° = 120°. OPQR is a kite, so the angles at P and R are equal: x = (360° − 120° − 120°)/2 = 60°.