In the figure, not drawn to scale, O is the centre of the semi circle and OJKL is a rhombus. ∠OLM = 33°. Find
- ∠k
- ∠m.
(a)
OL = OM = Radius
∠LOM
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠k = ∠LOM = 114° (Corresponding angles, JK//OL)
(b)
∠m
= 180° - 114°
= 66° (Interior angles, KL//JO)
Answer(s): (a) 114°; (b) 66°