In the figure, not drawn to scale, O is the centre of the semi circle and OBCD is a rhombus. ∠ODE = 33°. Find
- ∠y
- ∠z.
(a)
OD = OE = Radius
∠DOE
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠y = ∠DOE = 114° (Corresponding angles, BC//OD)
(b)
∠z
= 180° - 114°
= 66° (Interior angles, CD//BO)
Answer(s): (a) 114°; (b) 66°