In the figure, not drawn to scale, O is the centre of the semi circle and ODEF is a rhombus. ∠OFG = 30°. Find
- ∠p
- ∠q.
(a)
OF = OG = Radius
∠FOG
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠p = ∠FOG = 120° (Corresponding angles, DE//OF)
(b)
∠q
= 180° - 120°
= 60° (Interior angles, EF//DO)
Answer(s): (a) 120°; (b) 60°