WAEC - Mathematics (1988 - No. 33)

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.

67^o

100^o

113^o

126^o

134^o

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°