In the figure, not drawn to scale, O is the centre of the semi circle and OGHJ is a rhombus. ∠OJK = 30°. Find
- ∠x
- ∠y.
(a)
OJ = OK = Radius
∠JOK
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠x = ∠JOK = 120° (Corresponding angles, GH//OJ)
(b)
∠y
= 180° - 120°
= 60° (Interior angles, HJ//GO)
Answer(s): (a) 120°; (b) 60°