In the figure, not drawn to scale, O is the centre of the semi circle and OGHJ is a rhombus. ∠OJK = 33°. Find
- ∠s
- ∠t.
(a)
OJ = OK = Radius
∠JOK
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠s = ∠JOK = 114° (Corresponding angles, GH//OJ)
(b)
∠t
= 180° - 114°
= 66° (Interior angles, HJ//GO)
Answer(s): (a) 114°; (b) 66°