In the figure, not drawn to scale, O is the centre of the semi circle and ODEF is a rhombus. ∠OFG = 29°. Find
- ∠w
- ∠x.
(a)
OF = OG = Radius
∠FOG
= 180° - 29° - 29°
= 122° (Isosceles triangle)
∠w = ∠FOG = 122° (Corresponding angles, DE//OF)
(b)
∠x
= 180° - 122°
= 58° (Interior angles, EF//DO)
Answer(s): (a) 122°; (b) 58°