In the figure, not drawn to scale, O is the centre of the semi circle and OBCD is a rhombus. ∠ODE = 29°. Find
- ∠q
- ∠r.
(a)
OD = OE = Radius
∠DOE
= 180° - 29° - 29°
= 122° (Isosceles triangle)
∠q = ∠DOE = 122° (Corresponding angles, BC//OD)
(b)
∠r
= 180° - 122°
= 58° (Interior angles, CD//BO)
Answer(s): (a) 122°; (b) 58°