In the diagram above, O is the centre of the circle through points L, M and N, if ∠MLN = 74o and ∠MNL = 39o, calculate ∠LON.

  • A 67o
  • B 100o
  • C 113o
  • D 126o
  • E 134o
waec 1988mathematics

The correct answer is E. 134o

From the diagram, < LMN = 180° - (74° + 39°) (sum of angle in a triangle)

= 67°

< LON = 2 x 67° (angle subtended at the centre is twice the angle at the circumference)

= 134°

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