In the figure, not drawn to scale, O is the centre of the semi circle and ODEF is a rhombus. ∠OFG = 33°. Find
- ∠d
- ∠e.
(a)
OF = OG = Radius
∠FOG
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠d = ∠FOG = 114° (Corresponding angles, DE//OF)
(b)
∠e
= 180° - 114°
= 66° (Interior angles, EF//DO)
Answer(s): (a) 114°; (b) 66°