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°