In the figure, not drawn to scale, O is the centre of the semi circle and OGHJ is a rhombus. ∠OJK = 32°. Find
- ∠b
- ∠c.
(a)
OJ = OK = Radius
∠JOK
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠b = ∠JOK = 116° (Corresponding angles, GH//OJ)
(b)
∠c
= 180° - 116°
= 64° (Interior angles, HJ//GO)
Answer(s): (a) 116°; (b) 64°