In the figure, not drawn to scale, O is the centre of the semi circle and OUVW is a rhombus. ∠OWX = 34°. Find
- ∠s
- ∠t.
(a)
OW = OX = Radius
∠WOX
= 180° - 34° - 34°
= 112° (Isosceles triangle)
∠s = ∠WOX = 112° (Corresponding angles, UV//OW)
(b)
∠t
= 180° - 112°
= 68° (Interior angles, VW//UO)
Answer(s): (a) 112°; (b) 68°