WAEC Mathematics 2025 Objective — Question 44
Question 44 of 51 from the West African Examinations Council (WAEC) Mathematics 2025 Objective paper, with the correct answer and a full explanation.
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In the diagram, O is the centre of the circle. If angle NLM = 74 deg, angle LMN = 39 deg and angle LOM = x, find the value of x.
- A. 134 degCorrect
- B. 126 deg
- C. 113 deg
- D. 106 deg
Explanation
In triangle LMN: angle LNM = 180-(74+39) = 67 deg (angle sum in a triangle). Since angle LOM is the angle at the centre and angle LNM is the angle at the circumference standing on the same arc LM, angle LOM = 2 x angle LNM = 2 x 67 = 134 deg.
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