In the figure, not drawn to scale, O is the centre of the semi circle and OEFG is a rhombus. ∠OGH = 29°. Find
- ∠c
- ∠d.
(a)
OG = OH = Radius
∠GOH
= 180° - 29° - 29°
= 122° (Isosceles triangle)
∠c = ∠GOH = 122° (Corresponding angles, EF//OG)
(b)
∠d
= 180° - 122°
= 58° (Interior angles, FG//EO)
Answer(s): (a) 122°; (b) 58°