In the figure, not drawn to scale, O is the centre of the semi circle and OGHJ is a rhombus. ∠OJK = 35°. Find
- ∠a
- ∠b.
(a)
OJ = OK = Radius
∠JOK
= 180° - 35° - 35°
= 110° (Isosceles triangle)
∠a = ∠JOK = 110° (Corresponding angles, GH//OJ)
(b)
∠b
= 180° - 110°
= 70° (Interior angles, HJ//GO)
Answer(s): (a) 110°; (b) 70°