In the figure, not drawn to scale, O is the centre of the semi circle and OUVW is a rhombus. ∠OWX = 30°. Find
- ∠j
- ∠k.
(a)
OW = OX = Radius
∠WOX
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠j = ∠WOX = 120° (Corresponding angles, UV//OW)
(b)
∠k
= 180° - 120°
= 60° (Interior angles, VW//UO)
Answer(s): (a) 120°; (b) 60°