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.
- 67o
- 100o
- 113o
- 126o
-
134o
The correct answer is: E
Explanation
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°