In the figure, not drawn to scale, O is the centre of the semi circle and OYZA is a rhombus. ∠OAB = 32°. Find
- ∠w
- ∠x.
(a)
OA = OB = Radius
∠AOB
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠w = ∠AOB = 116° (Corresponding angles, YZ//OA)
(b)
∠x
= 180° - 116°
= 64° (Interior angles, ZA//YO)
Answer(s): (a) 116°; (b) 64°