In the figure, not drawn to scale, O is the centre of the semi circle and OBCD is a rhombus. ∠ODE = 30°. Find
- ∠x
- ∠y.
(a)
OD = OE = Radius
∠DOE
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠x = ∠DOE = 120° (Corresponding angles, BC//OD)
(b)
∠y
= 180° - 120°
= 60° (Interior angles, CD//BO)
Answer(s): (a) 120°; (b) 60°