In the figure, not drawn to scale, O is the centre of the semi circle and OJKL is a rhombus. ∠OLM = 30°. Find
- ∠y
- ∠z.
(a)
OL = OM = Radius
∠LOM
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠y = ∠LOM = 120° (Corresponding angles, JK//OL)
(b)
∠z
= 180° - 120°
= 60° (Interior angles, KL//JO)
Answer(s): (a) 120°; (b) 60°