Question 46
Circle TheoremsIn the diagram, M, N, R are points on the circle centre O. ∠ORN = 48° and ∠RNM = 124°. Find ∠OMN.
- A.76°
- B.64°
- C.58°
- D.48°
Show the answer and explanation
Answer: A (76°)
Explanation
OR = ON, so ∠ONR = 48° and ∠MNO = 124° − 48° = 76°. OM = ON, so ∠OMN = ∠ONM = 76°.