In the figure, not drawn to scale, O is the centre of the semi circle and OFGH is a rhombus. ∠OHJ = 32°. Find
- ∠j
- ∠k.
(a)
OH = OJ = Radius
∠HOJ
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠j = ∠HOJ = 116° (Corresponding angles, FG//OH)
(b)
∠k
= 180° - 116°
= 64° (Interior angles, GH//FO)
Answer(s): (a) 116°; (b) 64°