In the figure, not drawn to scale, O is the centre of the semi circle and OVWX is a rhombus. ∠OXY = 32°. Find
- ∠b
- ∠c.
(a)
OX = OY = Radius
∠XOY
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠b = ∠XOY = 116° (Corresponding angles, VW//OX)
(b)
∠c
= 180° - 116°
= 64° (Interior angles, WX//VO)
Answer(s): (a) 116°; (b) 64°