In the figure, not drawn to scale, O is the centre of the semi circle and OYZA is a rhombus. ∠OAB = 33°. Find
- ∠b
- ∠c.
(a)
OA = OB = Radius
∠AOB
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠b = ∠AOB = 114° (Corresponding angles, YZ//OA)
(b)
∠c
= 180° - 114°
= 66° (Interior angles, ZA//YO)
Answer(s): (a) 114°; (b) 66°