In the figure, not drawn to scale, O is the centre of the semi circle and OKLM is a rhombus. ∠OMN = 34°. Find
- ∠m
- ∠n.
(a)
OM = ON = Radius
∠MON
= 180° - 34° - 34°
= 112° (Isosceles triangle)
∠m = ∠MON = 112° (Corresponding angles, KL//OM)
(b)
∠n
= 180° - 112°
= 68° (Interior angles, LM//KO)
Answer(s): (a) 112°; (b) 68°