In the figure, not drawn to scale, O is the centre of the semi circle and OGHJ is a rhombus. ∠OJK = 31°. Find
- ∠n
- ∠p.
(a)
OJ = OK = Radius
∠JOK
= 180° - 31° - 31°
= 118° (Isosceles triangle)
∠n = ∠JOK = 118° (Corresponding angles, GH//OJ)
(b)
∠p
= 180° - 118°
= 62° (Interior angles, HJ//GO)
Answer(s): (a) 118°; (b) 62°