In the figure, not drawn to scale, O is the centre of the semi circle and OVWX is a rhombus. ∠OXY = 31°. Find
- ∠a
- ∠b.
(a)
OX = OY = Radius
∠XOY
= 180° - 31° - 31°
= 118° (Isosceles triangle)
∠a = ∠XOY = 118° (Corresponding angles, VW//OX)
(b)
∠b
= 180° - 118°
= 62° (Interior angles, WX//VO)
Answer(s): (a) 118°; (b) 62°