In the figure, not drawn to scale, O is the centre of the semi circle and OYZA is a rhombus. ∠OAB = 30°. Find
- ∠e
- ∠f.
(a)
OA = OB = Radius
∠AOB
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠e = ∠AOB = 120° (Corresponding angles, YZ//OA)
(b)
∠f
= 180° - 120°
= 60° (Interior angles, ZA//YO)
Answer(s): (a) 120°; (b) 60°