In the figure, not drawn to scale, O is the centre of the semi circle and OVWX is a rhombus. ∠OXY = 33°. Find
- ∠x
- ∠y.
(a)
OX = OY = Radius
∠XOY
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠x = ∠XOY = 114° (Corresponding angles, VW//OX)
(b)
∠y
= 180° - 114°
= 66° (Interior angles, WX//VO)
Answer(s): (a) 114°; (b) 66°