Question 44
Circle TheoremsIn the diagram, O is the centre of the circle. If ∠NLM = 74°, ∠LMN = 39° and ∠LOM = x, find the value of x.
- A.134°
- B.126°
- C.113°
- D.106°
Show the answer and explanation
Answer: A (134°)
Explanation
∠LNM = 180° − 74° − 39° = 67°. The angle at the centre is twice that: x = 134°.