Mathematics

In the diagram above, O is the centre of the circle through points L, M…

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
Correct Answer: Option 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°