In the figure, not drawn to scale, O is the centre of the semi circle and OFGH is a rhombus. ∠OHJ = 30°. Find
- ∠m
- ∠n.
(a)
OH = OJ = Radius
∠HOJ
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠m = ∠HOJ = 120° (Corresponding angles, FG//OH)
(b)
∠n
= 180° - 120°
= 60° (Interior angles, GH//FO)
Answer(s): (a) 120°; (b) 60°