In the figure, not drawn to scale, O is the centre of the semi circle and ODEF is a rhombus. ∠OFG = 31°. Find
- ∠c
- ∠d.
(a)
OF = OG = Radius
∠FOG
= 180° - 31° - 31°
= 118° (Isosceles triangle)
∠c = ∠FOG = 118° (Corresponding angles, DE//OF)
(b)
∠d
= 180° - 118°
= 62° (Interior angles, EF//DO)
Answer(s): (a) 118°; (b) 62°