In the figure, not drawn to scale, O is the centre of the semi circle and OTUV is a rhombus. ∠OVW = 33°. Find
- ∠p
- ∠q.
(a)
OV = OW = Radius
∠VOW
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠p = ∠VOW = 114° (Corresponding angles, TU//OV)
(b)
∠q
= 180° - 114°
= 66° (Interior angles, UV//TO)
Answer(s): (a) 114°; (b) 66°